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- W1851508906 abstract "We describe an interpretation of the Kervaire invariant of a Riemannian manifold of dimension $4k+2$ in terms of a holomorphic line bundle on the abelian variety $H^{2k+1}(M)otimes R/Z$. Our results are inspired by work of Witten on the fivebrane partition function in $M$-theory (hep-th/9610234, hep-th/9609122). Our construction requires a refinement of the algebraic topology of smooth manifolds better suited to the needs of mathematical physics, and is based on our theory of differential functions. These differential functions generalize the differential characters of Cheeger-Simons, and the bulk of this paper is devoted to their study." @default.
- W1851508906 created "2016-06-24" @default.
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- W1851508906 date "2005-07-01" @default.
- W1851508906 modified "2023-10-16" @default.
- W1851508906 title "Quadratic functions in geometry, topology, and M-theory" @default.
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- W1851508906 doi "https://doi.org/10.4310/jdg/1143642908" @default.
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