A K-theoretic interpretation of real Deligne cohomology

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.

24 pages; v5 even more small changes and corrections, final version to appear in Adv. Math

References in corpus (1)

• Embeddings of derived categories of bornological modules

Cited by in corpus (2)

• Smooth functions on algebraic K-theory
• Homotopy in Exact Categories