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math.QA2011
Metric Tannakian Duality
Calder Daenzer
We incorporate metric data into the framework of Tannaka-Krein duality. Thus, for any group with left invariant metric, we produce a dual metric on its category of unitary represen…
math.QA2008★ 1 cited
Mukai duality for gerbes with connection
Jonathan Block, Calder Daenzer
We study gerbes with connection over an etale stack via noncommutative algebras of differential forms on a groupoid presenting the stack. We then describe a dg-category of modules…
math.QA2007★ 3 cited
A groupoid approach to noncommutative T-duality
Calder Daenzer
Topological T-duality is a transformation taking a gerbe on a principal torus bundle to a gerbe on a principal dual-torus bundle. We give a new geometric construction of T-dualizat…