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- W2770792456 abstract "Let $$pi {:}, Prightarrow M$$ be a principal bundle and p an invariant polynomial of degree r on the Lie algebra of the structure group. The theory of Chern–Simons differential characters is exploited to define a homology map $$chi ^{k} {:}, H_{2r-k-1}(M)times H_{k}({mathcal {F}}/{mathcal {G}})rightarrow {mathbb {R}}/{mathbb {Z}}$$ , for $$k<r-1$$ , where $${mathcal {F}} /{mathcal {G}}$$ is the moduli space of flat connections of $$pi $$ under the action of a subgroup $${mathcal {G}}$$ of the gauge group. The differential characters of first order are related to the Dijkgraaf–Witten action for Chern–Simons theory. The second-order characters are interpreted geometrically as the holonomy of a connection in a line bundle over $${mathcal {F}}/{mathcal {G}}$$ . The relationship with other constructions in the literature is also analyzed." @default.
- W2770792456 created "2017-12-04" @default.
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- W2770792456 date "2018-05-10" @default.
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- W2770792456 title "Differential characters and cohomology of the moduli of flat connections" @default.
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- W2770792456 doi "https://doi.org/10.1007/s11005-018-1095-7" @default.
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