A K-theoretic interpretation of real Deligne cohomology

J. P. Pridham

doi:10.1016/j.aim.2017.09.018

A K-theoretic interpretation of real Deligne cohomology

J. P. Pridham

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that real Deligne cohomology of a complex manifold arises locally as a topological vector space completion of the analytic Lie groupoid of holomorphic vector bundles. Thus Beilinson's regulator arises naturally as a comparison map between K -theory groups of different types.

Original language	English
Pages (from-to)	795-826
Number of pages	24
Journal	Advances in Mathematics
Volume	320
Early online date	15 Sep 2017
DOIs	https://doi.org/10.1016/j.aim.2017.09.018
Publication status	Published - 7 Nov 2017

Keywords

math.KT
math.AG

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10.1016/j.aim.2017.09.018

1411.5705v5Accepted author manuscript, 294 KB

https://arxiv.org/abs/1411.5705v5

Jon Pridham
- School of Mathematics - Personal Chair of Derived Algebraic Geometry
Person: Academic: Research Active

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A K-theoretic interpretation of real Deligne cohomology

Abstract

Keywords

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Jon Pridham

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