A K-theoretic interpretation of real Deligne cohomology

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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 languageEnglish
Pages (from-to)795-826
Number of pages24
JournalAdvances in Mathematics
Early online date15 Sept 2017
Publication statusPublished - 7 Nov 2017

Keywords / Materials (for Non-textual outputs)

  • math.KT
  • math.AG


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