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Looking back over 55 years of higher homotopy structures, I reminisce as I recall the early days and ponder how they developed and how I now see them.
Monoïdes préordonnés et chaînes de Malcev
D. Tamari · 1951
Earlier work this paper cites.
An Introduction to Homotopy Theory
P. J. Hilton · 1953
Earlier work this paper cites.
Classification of fibre bundles by the loop space of the base
R. Lashof · 1956
Earlier work this paper cites.
Moore seminar on algebraic homotopy theory
J. C. Moore · 1956
Earlier work this paper cites.
A theorem on stability of complex structures
A. Frölicher and A. Nijenhuis · 1957
Earlier work this paper cites.
On a condition that a space is an H-space
M Sugawara · 1957
Earlier work this paper cites.
On a condition that a space is group-like
M Sugawara · 1957
Earlier work this paper cites.
On deformations of complex analytic structures. I, II
K. Kodaira and D. C. Spencer · 1958
Earlier work this paper cites.
Obstruction primaire á la déformation
A. Douady · 1960
Earlier work this paper cites.
On the homotopy-commutativity of groups and loop spaces
M Sugawara · 1960
Earlier work this paper cites.
On homotopy abelian H-spaces
J. D. Stasheff · 1961
Earlier work this paper cites.
The algebra of bracketings and their enumeration
D. Tamari · 1962
Earlier work this paper cites.
The cohomology structure of an associative ring
M. Gerstenhaber · 1963
Earlier work this paper cites.
Differential forms on general commutative algebras
G. S. Rinehart · 1963
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Homotopy associativity of H-spaces, I
J. Stasheff · 1963
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Homotopy associativity of H-spaces, II
J. Stasheff · 1963
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On the deformation of rings and algebras
M. Gerstenhaber · 1964
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Cohomology and deformations of algebraic structures
A. Nijenhuis and R. W. Richardson, Jr · 1964
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Homotopy commutativity and the Moore spectral sequence
A. Clark · 1965
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Fiber spaces and the higher homotopy cocycle relations
J. F. Wirth · 1965
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Cohomology and deformations in graded Lie algebras
A. Nijenhuis and A.R. W. Richardson, Jr · 1966
Earlier work this paper cites.
The cotangent complex of a morphism
S. Lichtenbaum and M. Schlessinger · 1967
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Homotopy-everything H-spaces
J. M. Boardman and R. M. Vogt · 1968
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Functors of Artin rings
M. Schlessinger · 1968
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H-spaces from a Homotopy Point of View
J. D. Stasheff · 1970
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The Geometry of Iterated Loop Spaces
J. P. May · 1972
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A n A_{n} -actions on fibre spaces
R. A. Nowlan · 1972
Earlier work this paper cites.
Homotopy invariant algebraic structures on topological spaces
J. M. Boardman and R. M. Vogt · 1973
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Generalized Hamiltonian dynamics
Y. Nambu · 1973
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Quantization of relativistic systems with constraints
E.S. Fradkin and G.S. Vilkovisky · 1975
Earlier work this paper cites.
Rational Whitehead products and a spectral sequence of Quillen. II
C. Allday · 1977
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Rational homotopy theory – obstructions and deformations
M. Schlessinger and J. Stasheff · 1977
Earlier work this paper cites.
Infinitesimal computations in topology
D. Sullivan · 1977
Earlier work this paper cites.
Deformation theory and quantization. I. Deformations of symplectic structures
F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer · 1978
Earlier work this paper cites.
Deformation theory and quantization. II. Physical applications
F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer · 1978
Earlier work this paper cites.
Quantization of relativistic systems with boson and fermion first and second class constraints
E.S. Fradkin and T.E. Fradkina · 1978
Earlier work this paper cites.
La structure polyédrale des complexes de parenthésages
D. Tamari and D. Huguet · 1978
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Massey operations, obstructions to formality in Sullivan’s sense and obstructions to Kodaira-Spencer deformations
V. S. Retakh · 1979
Earlier work this paper cites.
Gauge algebra and quantization
I. A. Batalin and G. A. Vilkovisky · 1981
Earlier work this paper cites.
Gauge algebra and quantization
I.A. Batalin and G.S. Vilkovisky · 1981
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A generalized canonical formalism and quantization of reducible gauge theories
I.A. Batalin and E.S. Fradkin · 1983
Earlier work this paper cites.
Homotopie Rationnelle: Modèles de Chen, Quillen, Sullivan
D. Tanré · 1983
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Closure of the gauge algebra, generalized Lie equations and Feyneman rules
I.A. Batalin and G.S. Vilkovisky · 1984
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Existence theorem for gauge algebra
I.A. Batalin and G.S. Vilkovisky · 1985
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On the theoretical problems in constructing intereactions involving higher spin massless particles
F.A. Berends, G.J.H. Burgers, and H. van Dam · 1985
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On the construction of field theories for higher spin massless particles
G.J.H. Burgers · 1985
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n n -ary Lie algebras
V. T. Filippov · 1985
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Massey operations in Lie superalgebras and differentials of the Quillen spectral sequence
V. S. Retakh · 1985
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The Lie algebra structure of tangent cohomology and deformation theory
M. Schlessinger and J. D. Stasheff · 1985
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Letter to j.millson and w.goldman, april 24,1986, 1986
P. Deligne · 1986
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On perturbations and A ∞ {A}_{\infty} -structures
V.K.A.M. Gugenheim and J.D. Stasheff · 1986
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Covariant string field theory
H. Hata, K. Itoh, T. Kugo, H. Kunitomo, and K. Ogawa · 1986
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Noncommutative geometry and string field theory
E. Witten · 1986
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Dirac structures of integrable evolution equations
I. Dorfman · 1987
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Algebraic cohomology and deformation theory
M. Gerstenhaber and S. D. Schack · 1988
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The deformation theory of fundamental groups of compact Kähler manifolds
W. M. Goldman and J. J. Millson · 1988
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The structure of the A ( ∞ ) A(\infty) -algebra, and the Hochschild and Harrison cohomologies
T. V. Kadeishvili · 1988
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Why are there two BRST string field theories?
M. Kaku · 1988
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Constrained Poisson algebras and strong homotopy representations
J. Stasheff · 1988
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Constrained Poisson algebras and strong homotopy representations
J.D. Stasheff · 1988
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Higher homotopy associativity
N. Iwase and M. Mimura · 1989
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An almost groupoid structure for the space of (open) strings and implications for string field theory
J. Stasheff · 1989
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Dirac manifolds
T. J. Courant · 1990
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Notes to Kosmann-Schwarzbach
J.-L. Koszul · 1990
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Quantum groups (Leningrad, 1990)
P.P. et al Kulish, editor · 1992
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Nambu mechanics and its quantization
D. Sahoo and M. C. Valsakumar · 1992
Cited alongside, same era.
Homological (ghost) approach to constrained Hamiltonian systems
J. Stasheff · 1992
Cited alongside, same era.
Dirac structures and integrability of nonlinear evolution equations
I. Dorfman · 1993
Cited alongside, same era.
Formal (non)commutative symplectic geometry
M. Kontsevich · 1993
Cited alongside, same era.
Introduction to sh Lie algebras for physicists
T. Lada and J.D. Stasheff · 1993
Cited alongside, same era.
New perspectives on the BRST-algebraic structure of string theory
B. H. Lian and G. J. Zuckerman · 1993
Cited alongside, same era.
Higher homotopy commutativity of H-spaces and homotopy localizations
Y. Kawamoto · 2007
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Algebraic string operations
T. Tradler and M. Zeinalian · 2007
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Higher derived brackets and deformation theory. I
F. Akman and L. M. Ionescu · 2008
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The minimal model for the Batalin-Vilkovisky operad
G. C. Drummond-Cole and B. Vallette · 2008
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Convex Hull Realizations of the Multiplihedra
S. Forcey · 2008
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Quotients of the multiplihedron as categorified associahedra
S. Forcey · 2008
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Integrating L ∞ L_{\infty} -algebras
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J.-L. Loday · 1993
Cited alongside, same era.
The intrinsic bracket on the deformation complex of an associative algebra
J. D. Stasheff · 1993
Cited alongside, same era.
Closed string field theory: Quantum action and the Batalin-Vilkovisky master equation
B. Zwiebach · 1993
Cited alongside, same era.
On the self-linking of knots
R. Bott and C. Taubes · 1994
Cited alongside, same era.
Batalin-Vilkovisky algebras and two-dimensional topological field theories
E. Getzler · 1994
Cited alongside, same era.
Batalin-Vilkovisky algebras and two-dimensional topological field theories
E. Getzler · 1994
Cited alongside, same era.
A. Henriques · 2008
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A proof of a cyclic version of Deligne’s conjecture via cacti
R. M.Kaufmann · 2008
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Infinity-inner-products on A A -infinity-algebras
Thomas Tradler · 2008
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The L ∞ L_{\infty} -deformation complex of diagrams of algebras
Y. Frégier, M. Markl, and D. Yau · 2009
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A small open-closed homotopy algebra (OCHA)
T. Kadeishvili and T. Lada · 2009
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Notes on A ∞ A_{\infty} -algebras, A ∞ A_{\infty} -categories and non-commutative geometry
M. Kontsevich and Y. Soibelman · 2009
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Deformation theory of representations of prop(erad)s. I
S. Merkulov and B. Vallette · 2009
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Courant-Dorfman algebras and their cohomology
D. Roytenberg · 2009
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A first course in string theory
B. Zwiebach · 2009
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Coalgebraic approach to the Loday infinity category, stem differential for 2 n 2n -ary graded and homotopy algebras
M. Ammar and N. Poncin · 2010
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n n -ary algebras: A Review with applications
J. de Azcarraga and J. Izquierdo · 2010
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Associahedra, cyclohedra and a topological solution to the A ∞ A_{\infty} Deligne conjecture
R. M. Kaufmann and R. Schwell · 2010
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Intrinsic brackets and the L ∞ L_{\infty} -deformation theory of bialgebras
M. Markl · 2010
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Unifying derived deformation theories
J. P. Pridham · 2010
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DG-algebras and derived A ∞ A_{\infty} -algebras
S. Sagave · 2010
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A twisted tale of cochains and connections
J. Stasheff · 2010
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On the structure of open-closed string field theory and its applications
H. Kajiura · 2011
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Nijenhuis structures on Courant algebroids
Y. Kosmann-Schwarzbach · 2011
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Formal moduli problems
J. Lurie · 2011
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Corrigendum to “Unifying derived deformation theories” [Adv. Math. 224 (3) (2010) 772–826] [mr2628795]
J. P. Pridham · 2011
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Representations up to homotopy of Lie algebroids
C.A Abad and M. Crainic · 2012
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Bulk deformations of open topological string theory
N. Carqueville and M. M. Kay · 2012
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An invitation to algebraic topological string theory
N. Carqueville and M. M. Kay · 2012
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Homotopy Batalin-Vilkovisky algebras
I. Gálvez-Carrillo, A. Tonks, and B. Vallette · 2012
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On the coalgebra description of OCHA
E. Hoefel · 2012
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Algebraic operads
J-L. Loday and B. Vallette · 2012
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Associahedra, Tamari lattices and related structures
F. Müller-Hoissen, J. M. Pallo, and J. Stasheff, editors · 2012
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L ∞ L_{\infty} -algebras from multisymplectic geometry
C. L. Rogers · 2012
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Cyclic A ∞ A_{\infty} structures and Deligne’s conjecture
B. C. Ward · 2012
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L ∞ L_{\infty} -algebras and higher analogues of Dirac structures and Courant algebroids
M. Zambon · 2012
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Double field theory: a pedagogical review
G. Aldazabal, D. Marqués, and C. Núñez · 2013
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The amplituhedron
N. Arkani-Hamed and J. Trnka · 2014
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A letter from Kharkov to Moscow
V. Drinfeld · 2014
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Derived algebraic geometry. (english summary)
B. Toën · 2014
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On the strong homotopy Lie-Rinehart algebra of a foliation
L. Vitagliano · 2014
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Positive amplitudes in the amplituhedron
N. Arkani-Hamed, A. Hodges, and J. Trnka · 2015
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Nonabelian higher derived brackets
R. Bandiera · 2015
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Even symplectic supermanifolds and double field theory
A. Deser and J. Stasheff · 2015
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I, Mathematician
Y. Manin · 2015
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A ∞ A_{\infty} -actions and recognition of relative loop spaces
E. Hoefel, M. Livernet, and J. Stasheff · 2016
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Maurer-Cartan elements and cyclic operads
B. C. Ward · 2016
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Higher order Whitehead products and L ∞ L_{\infty} structures on the homology of a DGL
F. Belchí, U. Buijs, J.M. Moreno-Fernández, and A. Murillo · 2017
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BV formality
Ri. Campos · 2017
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A direct computation of the cohomology of the braces operad
V. Dolgushev and T. Willwacher · 2017
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L ∞ L_{\infty} algebras and field theory
O. Hohm and B. Zwiebach · 2017
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Sylow theorems for ∞ \infty -groups
M. Prasma and T. M. Schlank · 2017
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Scattering forms and the positive geometry of kinematics, color and the worldsheet
N. Arkani-Hamed, Y. Bai, S. He, and G. Yan · 2018
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Global Seiberg-Witten maps for U(n)-bundles on tori and T-duality
P. Aschieri and A. Deser · 2018
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Bootstrapping non-commutative gauge theories from l ∞ l_{\infty} algebras
R. Blumenhagen, I. Brunner, V. Kupriyanov, and D. Lüst · 2018
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On the uniqueness of l ∞ l_{\infty} bootstrap: Quasi-isomorphisms are seiberg-witten maps
R. Blumenhagen, I. Brunner, V. Kupriyanov, and M. Traube · 2018
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A-infinity structures and massey products
U. Buijs, J. Moreno-Fernández, and A. Murillo · 2018
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Derived A A -infinity algebras and their homotopies
J.and D. Cirici, M. Livernet, and S. Whitehouse · 2018
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Derived brackets and symmetries in generalized geometry and double field theory
A. Deser and C. Säemann · 2018
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Extended Riemannian Geometry I: Local Double Field Theory
A. Deser and C. Sämann · 2018
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Encyclopedia of combinatorial polytope sequences
S. Forcey · 2018
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Review on higher homotopies in the theory of H H -spaces
Y. Hemmi · 2018
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Homotopy Loday algebras and symplectic 2-manifolds
M. T. Peddie · 2018
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Relative recognition principle
R. V. Viera · 2018
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