Fetching the paper…
Reading the bibliography…
We uncover and highlight relations between the M-branes in M-theory and various topological invariants: the Hopf invariant over $\mathbb{Q}$, $\mathbb{Z}$ and $\mathbb{Z}_2$, the Kervaire invariant, the $f$-invariant, and the $\nu$-invariant.
J. F. Adams, On the nonexistence of elements of Hopf invariant one
1958
Earlier work this paper cites.
S. Hu, Homotopy theory, Academic Press, New York 1959
1959
Earlier work this paper cites.
J. F. Adams and M. F. Atiyah, On K K -theory and the Hopf invariant
1966
Earlier work this paper cites.
R. E. Stong, Notes on Cobordism Theory, Princeton University Press, Princeton, NJ, 1968
1968
Earlier work this paper cites.
W. Browder, The Kervaire invariant of framed manifolds and its generalization
1969
Earlier work this paper cites.
J. H. White, Self-linking and the Gauss integral in higher dimensions
1969
Earlier work this paper cites.
E. H. Brown, Jr., Generalizations of the Kervaire invariant
1972
Earlier work this paper cites.
J. D. S. Jones and E. G. Rees, A note on the Kervaire invariant
1975
Earlier work this paper cites.
P. G. O. Freund and M. A. Rubin, Dynamics of dimensional reduction
1980
Earlier work this paper cites.
M. Minami, Hopf fibrations of the sphere-constraints in the non-linear σ \sigma models
1980
Earlier work this paper cites.
J. Lannes, Sur l’invariant de Kervaire des varietés fermées stablement parallelisées
1981
Earlier work this paper cites.
R. Bott and L. Tu, Differential Forms in Algebraic Topology, Springer, 1982
1982
Earlier work this paper cites.
C. Isham, C. Pope, and N. Warner, Nowhere-vanishing spinors and triality rotations in 8-manifolds
1988
Earlier work this paper cites.
H. C. Tze and S.-K. Nam, Topological phase entanglements of membrane solitons in division algebra sigma models with a Hopf term
1989
Earlier work this paper cites.
Quantum field theory and the Jones polynomial
E. Witten, · 1989
Earlier work this paper cites.
M. Atiyah, On framings of 3-manifolds
1990
Earlier work this paper cites.
W. S. Massey, A Basic Course in Algebraic Topology, Springer-Verlag, New York, 1991
1991
Earlier work this paper cites.
N. Seiberg and E. Witten, Monopole condensation, and confinement in N = 2 N=2 supersymmetric Yang-Mills theory
1994
Earlier work this paper cites.
C. Blanchet, N. Habegger, G. Masbaum, and P. Vogel, Topological quantum field theories derived from the Kauffman bracket
1995
Earlier work this paper cites.
A. Strominger, Open p p -branes
1996
Earlier work this paper cites.
P. K. Townsend, D-branes from M-branes
1996
Earlier work this paper cites.
L. Bonora, C. S. Chu, and M. Rinaldi, Perturbative anomalies of the M5-brane
1997
Earlier work this paper cites.
A. Hassell, R. Mazzeo, and R. Melrose, A signature formula for manifolds with corners of codimension two
1997
Earlier work this paper cites.
On flux quantization in M-theory and the effective action
E. Witten, · 1997
Cited alongside, same era.
Five-brane effective action in M-theory
E. Witten, · 1997
Cited alongside, same era.
K. Hori, Consistency conditions for fivebrane in M theory on ℝ 5 / ℤ 2 {\mathbb{R}}^{5}/{\mathbb{Z}}_{2} orbifold
1999
Cited alongside, same era.
R. Kirby and P. Melvin, Canonical framings for 3-manifolds
1999
Cited alongside, same era.
N. E. Steenrod, The Topology of Fiber Bundles, Princeton University Press, Princeton, NJ, 1999
1999
Cited alongside, same era.
N. Hitchin, The geometry of three-forms in six and seven dimensions
2000
H. Sati, The loop group of E 8 E_{8} and targets for spacetime
2009
Later among the works it cites.
L ∞ -algebra connections and applications to String- and Chern-Simons n n -transport
H. Sati, U. Schreiber, and J. Stasheff, · 2009
Later among the works it cites.
H. Sati, U. Schreiber, and J. Stasheff, Fivebrane structures
2009
Later among the works it cites.
U. Bunke and N. Neumann, The f f -invariant and index theory
2010
Later among the works it cites.
H. Sati, E 8 E_{8} gauge theory and gerbes in string theory
2010
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
K. Intriligator, Anomaly matching and a Hopf-Wess-Zumino term in six-dimensional N = ( 2 , 0 ) N=(2,0) field theories
2000
Cited alongside, same era.
G. Laures, On cobordism of manifolds with corners
2000
Cited alongside, same era.
S. Morita, Geometry of Differential Forms, American Mathematical Soc., Providence, RI 2001
2001
Cited alongside, same era.
G. Curio, Superpotentials for M-theory on G 2 G_{2} holonomy manifold and triality symmetry
2003
Cited alongside, same era.
E. Disconescu. G. Moore, and E. Witten, E 8 E_{8} gauge theory, and a derivation of K-theory from M-theory
2003
Cited alongside, same era.
I. Kriz and H. Sati, M-Theory, type IIA superstrings, and elliptic cohomology
2004
Cited alongside, same era.
H. Sati, · 2010
Later among the works it cites.
L. Jeffrey and B. McLellan, Eta-invariants and anomalies in U(1)-Chern-Simons theory
2011
Later among the works it cites.
H. Sati, Anomalies of E 8 E_{8} gauge theory on String manifolds
2011
Later among the works it cites.
H. Sati, · 2011
Later among the works it cites.
H. Sati, Twisted topological structures related to M-branes
2011
Later among the works it cites.
2011
Later among the works it cites.
H. Sati, M-theory, the signature theorem, and geometric invariants
2011
Later among the works it cites.
H. Sati, Duality and cohomology in M-theory with boundary
2012
Later among the works it cites.
H. Sati, Twisted topological structures related to M-branes II: Twisted Wu and Wu c
2012
Later among the works it cites.
H. Sati, Geometry of Spin and Spin c
2012
Later among the works it cites.
Twisted differential String- and Fivebrane structures
H. Sati, U. Schreiber, and J. Stasheff, · 2012
Later among the works it cites.
D. Fiorenza, H. Sati, and U. Schreiber, Extended higher cup-product Chern-Simons theory
2013
Closest in time.
H. Sati, M-theory with framed corners and tertiary index invariants
2014
Closest in time.
D. Fiorenza, H. Sati, and U. Schreiber, The WZW term of the M5-brane and differential cohomotopy
2015
Closest in time.
2016
Closest in time.
2017
Closest in time.
C. Redden, String structures and canonical 3-forms
2086
Closest in time.