13 citations · 18 across the 4 of their papers we have counts for
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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.QA2006★ 13 cited
Duality and equivalence of module categories in noncommutative geometry II: Mukai duality for holomorphic noncommutative tori
Jonathan Block
This is the second in a series of papers intended to set up a framework to study categories of modules in the context of non-commutative geometries. In \cite{mem} we introduced the…
math.QA2005
Duality and equivalence of module categories in noncommutative geometry I
Jonathan Block
This is the first in a series of papers that deals with duality statements such as Mukai-duality (T-duality, from algebraic geometry) and the Baum-Connes conjecture (from operator…