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The first part of this text is a gentle exposition of some basic constructions and results in the extended prequantum theory of Chern-Simons-type gauge field theories.
Connections on non-abelian gerbes and their holonomy
U. Schreiber, K. Waldorf, · 1923
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J. Milnor, The geometric realization of a semi-simplicial complex
1957
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J. Milnor, Morse Theory
1963
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Graded Brauer groups
C. T. C. Wall, · 1964
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Graded Brauer groups and K-theory with local coefficients
P. Donovan and M. Karoubi, · 1970
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S. S. Chern and J. Simons, Characteristic forms and geometric invariants
1974
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Characteristic classes
J. Milnor and J. Stasheff, · 1974
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On the definition of quantization
B. Kostant, · 1975
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Lagrangian and Hamiltonian descriptions of Yang-Mills particles
A. P. Balachandran, S. Borchardt, and A. Stern, · 1978
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M. F. Atiyah and R. Bott, The Yang-Mills equations over Riemann surfaces
1982
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K. Gawedzki, Topological actions in two-dimensional quantum field theories
1988
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Quantum field theory and the Jones polynomial
E. Witten, · 1989
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Geometric quantization
N. M. J. Woodhouse, · 1992
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A geometric construction of the first Pontryagin class
J.-L. Brylinski and D. McLaughlin, · 1993
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B. Zwiebach, Closed string field theory: Quantum action and the B-V master equation
1993
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The geometry of degree-four characteristic classes and of line bundles on loop spaces I
J.-L. Brylinski and D. McLaughlin, · 1994
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Two-dimensional gravity and nonlinear gauge theory
N. Ikeda, · 1994
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Poisson structure induced (topological) field theories
P. Schaller, T. Strobl, · 1994
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Poisson-Sigma-Models: A Generalization of 2-D Gravity Yang-Mills-Systems
P. Schaller, T. Strobl, · 1994
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Classical Chern-Simons theory, Part I
D. S. Freed, · 1995
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A. Weinstein, The symplectic structure on moduli space
1995
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The geometry of degree- 4 4 characteristic classes and of line bundles on loop spaces II
J.-L. Brylinski and D. McLaughlin, · 1996
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Cech cocycles for characteristic classes
J.-L. Brylinski and D. McLaughlin, · 1996
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The geometry of the master equation and topological quantum field theory
M. Alexandrov, M. Kontsevich, A. Schwarz, and O. Zaboronsky, · 1997
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Geometry of Deligne cohomology
P. Gajer, · 1997
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Five-brane effective action in M-theory
E. Witten, · 1997
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J. Polchinski, String Theory
1998
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AdS/CFT correspondence and topological field theory
E. Witten, · 1998
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D. S. Freed and E. Witten, Anomalies in string theory with D-branes
1999
Cited alongside, same era.
K. Gomi and Y. Terashima, A fiber integration formula for the smooth Deligne cohomology
2000
Cited alongside, same era.
D-branes in a topologically nontrivial B-field
A. Kapustin, · 2000
Cited alongside, same era.
Poisson sigma models and symplectic groupoids
A. S. Cattaneo and G. Felder, · 2001
Cited alongside, same era.
On the AKSZ formulation of the Poisson sigma model
A. S. Cattaneo and G. Felder, · 2001
Cited alongside, same era.
K. Gomi and Y. Terashima, Higher-dimensional parallel transports
2001
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U. Schreiber, · 2009
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Categorified Symplectic Geometry and the String Lie 2-Algebra
J. C. Baez, C. L. Rogers, · 2010
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2010
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Generalizing geometry - algebroids and sigma models
A. Kotov and T. Strobl, · 2010
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Cocycle constructions for topological field theories
D. Lispky, · 2010
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P. Bouwknegt, A. Carey, V. Mathai, M. Murray, D. Stevenson, · 2002
Cited alongside, same era.
Classical Chern-Simons theory, Part II
D. S. Freed, · 2002
Cited alongside, same era.
K. Gawedzki and N. Reis, WZW branes and gerbes
2002
Cited alongside, same era.
Moment maps, cobordisms, and Hamiltonian group actions
V. Ginzburg, V. Guillemin, Y. Karshon, · 2002
Cited alongside, same era.
Chern-Simons gauge theory coupled with BF theory
N. Ikeda, · 2003
Cited alongside, same era.
A. L. Carey, S. Johnson, and M. K. Murray, Holonomy on D-branes
2004
Cited alongside, same era.
Geometric and topological structures related to M-branes
H. Sati, · 2010
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Localization for Wilson loops in Chern-Simons theory
C. Beasley, · 2011
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Orientifold precis
J. Distler, D. S. Freed, and G. W. Moore, · 2011
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Global gauge anomalies in two-dimensional bosonic sigma models
K. Gawedzki, R. Suszek, and K. Waldorf, · 2011
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N. Hitchin, Lectures on generalized geometry
2011
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C. L. Rogers, · 2011
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Higher geometric quantization
C. L. Rogers, · 2011
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H. Sati, · 2011
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H. Sati, Twisted topological structures related to M-branes
2011
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U. Schreiber, Habilitation, Hamburg University (2011)
2011
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C. Schweigert and K. Waldorf, · 2011
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Čech cocycles for differential characteristic classes – An ∞ \infty -Lie theoretic construction
D. Fiorenza, U. Schreiber, and J. Stasheff, · 2012
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Twisted K-theory and orientifolds
D. Freed, · 2012
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H. Sati, Twisted topological structures related to M-branes II: Twisted Wu and Wu c
2012
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Twisted differential String- and Fivebrane structures
H. Sati, U. Schreiber, and J. Stasheff, · 2012
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Twisted differential structures in String theory
U. Schreiber, · 2012
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Quantum gauge field theory in Cohesive homotopy type theory
U. Schreiber and M. Shulman, · 2012
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Chern-Simons Theory with Wilson Lines and Boundary in the BV-BFV Formalism
A. Alekseev, Y. Barmaz, and P. Mnev, · 2013
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A higher Chern-Weil derivation of AKSZ sigma-models
D. Fiorenza, C. Rogers and U. Schreiber, · 2013
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Extended higher cup-product Chern-Simons theories
D. Fiorenza, H. Sati, and U. Schreiber, · 2013
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Cohomological quantization of local prequantum boundary field theory. Faculty of Science Theses. Utrecht University (2013), igitur-archive.library.uu.nl/ student-theses/2013-0920-200914/thesis_nuiten.pdf
J. J. Nuiten, · 2013
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String connections and Chern-Simons theory
K. Waldorf, · 2013
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