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- W2099665514 abstract "We formulate differential cohomology and Chern-Weil theory -- the theory of connections on fiber bundles and of gauge fields -- abstractly in the context of a certain class of higher toposes that we call cohesive. Cocycles in this differential cohomology classify higher principal bundles equipped with cohesive structure (topological, smooth, synthetic differential, supergeometric, etc.) and equipped with connections, hence higher gauge fields. We discuss various models of the axioms and applications to fundamental notions and constructions in quantum field theory and string theory. In particular we show that the cohesive and differential refinement of universal characteristic cocycles constitutes a higher Chern-Weil homomorphism refined from secondary caracteristic classes to morphisms of higher moduli stacks of higher gauge fields, and at the same time constitutes extended geometric prequantization -- in the sense of extended/multi-tiered quantum field theory -- of hierarchies of higher dimensional Chern-Simons-type field theories, their higher Wess-Zumino-Witten-type boundary field theories and all further higher codimension defect field theories. We close with an outlook on the cohomological quantization of such higher boundary prequantum field theories by a kind of cohesive motives." @default.
- W2099665514 created "2016-06-24" @default.
- W2099665514 creator A5035762576 @default.
- W2099665514 date "2013-10-29" @default.
- W2099665514 modified "2023-09-27" @default.
- W2099665514 title "Differential cohomology in a cohesive infinity-topos" @default.
- W2099665514 cites W1473149566 @default.
- W2099665514 cites W1487253822 @default.
- W2099665514 cites W1491835430 @default.
- W2099665514 cites W1519601525 @default.
- W2099665514 cites W1521890727 @default.
- W2099665514 cites W1548764658 @default.
- W2099665514 cites W1554936282 @default.
- W2099665514 cites W1578848569 @default.
- W2099665514 cites W1586752611 @default.
- W2099665514 cites W1594900487 @default.
- W2099665514 cites W1603547148 @default.
- W2099665514 cites W1604591304 @default.
- W2099665514 cites W1629898032 @default.
- W2099665514 cites W1665361117 @default.
- W2099665514 cites W1679689126 @default.
- W2099665514 cites W1680171265 @default.
- W2099665514 cites W179485435 @default.
- W2099665514 cites W1800127362 @default.
- W2099665514 cites W1804083112 @default.
- W2099665514 cites W1839514714 @default.
- W2099665514 cites W1851508906 @default.
- W2099665514 cites W1889142700 @default.
- W2099665514 cites W1963955123 @default.
- W2099665514 cites W1964489546 @default.
- W2099665514 cites W1965304299 @default.
- W2099665514 cites W1967041611 @default.
- W2099665514 cites W1967486392 @default.
- W2099665514 cites W1969144910 @default.
- W2099665514 cites W1975192275 @default.
- W2099665514 cites W1979359102 @default.
- W2099665514 cites W1980065889 @default.
- W2099665514 cites W1980755446 @default.
- W2099665514 cites W1981862677 @default.
- W2099665514 cites W1983033166 @default.
- W2099665514 cites W1984160089 @default.
- W2099665514 cites W2000731066 @default.
- W2099665514 cites W2002387953 @default.
- W2099665514 cites W2003845456 @default.
- W2099665514 cites W2004244653 @default.
- W2099665514 cites W2004492171 @default.
- W2099665514 cites W2006252518 @default.
- W2099665514 cites W2008020084 @default.
- W2099665514 cites W2010346873 @default.
- W2099665514 cites W2010875344 @default.
- W2099665514 cites W2012218074 @default.
- W2099665514 cites W2015755293 @default.
- W2099665514 cites W2017656972 @default.
- W2099665514 cites W2022837260 @default.
- W2099665514 cites W2023969170 @default.
- W2099665514 cites W2027549187 @default.
- W2099665514 cites W2028014686 @default.
- W2099665514 cites W2033999657 @default.
- W2099665514 cites W2034300978 @default.
- W2099665514 cites W2035266185 @default.
- W2099665514 cites W2040185880 @default.
- W2099665514 cites W2041042752 @default.
- W2099665514 cites W2043229226 @default.
- W2099665514 cites W2043745712 @default.
- W2099665514 cites W2044409636 @default.
- W2099665514 cites W2045044457 @default.
- W2099665514 cites W2053596258 @default.
- W2099665514 cites W2061085846 @default.
- W2099665514 cites W2062510344 @default.
- W2099665514 cites W2065345605 @default.
- W2099665514 cites W2065853522 @default.
- W2099665514 cites W2070725510 @default.
- W2099665514 cites W2071417479 @default.
- W2099665514 cites W2079021283 @default.
- W2099665514 cites W2081657829 @default.
- W2099665514 cites W2082630698 @default.
- W2099665514 cites W2084051193 @default.
- W2099665514 cites W2085033368 @default.
- W2099665514 cites W2085084116 @default.
- W2099665514 cites W2087359101 @default.
- W2099665514 cites W2088060979 @default.
- W2099665514 cites W2089071539 @default.
- W2099665514 cites W2091089989 @default.
- W2099665514 cites W2099394432 @default.
- W2099665514 cites W2099684400 @default.
- W2099665514 cites W2112976816 @default.
- W2099665514 cites W2116397731 @default.
- W2099665514 cites W2117817276 @default.
- W2099665514 cites W2123752542 @default.
- W2099665514 cites W2129300976 @default.
- W2099665514 cites W2130077540 @default.
- W2099665514 cites W2139018210 @default.
- W2099665514 cites W2144689085 @default.
- W2099665514 cites W2146755024 @default.
- W2099665514 cites W2158502087 @default.
- W2099665514 cites W2169882903 @default.
- W2099665514 cites W2244868341 @default.
- W2099665514 cites W2284168334 @default.
- W2099665514 cites W2321191605 @default.
- W2099665514 cites W2335876401 @default.