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 (fromto)  795826 
Number of pages  24 
Journal  Advances in Mathematics 
Volume  320 
Early online date  15 Sep 2017 
DOIs  
Publication status  Published  7 Nov 2017 
Keywords
 math.KT
 math.AG
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Jon Pridham
 School of Mathematics  Personal Chair of Derived Algebraic Geometry
Person: Academic: Research Active