23 citations · 119 across the 20 of their papers we have counts for
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math.KT2014★ 3 cited
A Fourier-Mukai Approach to the K-theory of Compact Lie Groups
David Baraglia, Pedram Hekmati
Let be a compact, connected, simply-connected Lie group. We use the Fourier-Mukai transform in twisted -theory to give a new proof of the ring structure of the -theory of…
math.KT2014
Projective Families of Dirac operators on a Banach Lie Groupoid
Pedram Hekmati, Jouko Mickelsson
We introduce a Banach Lie group of unitary operators subject to a natural trace condition. We compute the homotopy groups of , describe its cohomology and construct an …
math.KT2013★ 8 cited
A Geometric Model for Odd Differential K-theory
Pedram Hekmati, Michael K. Murray, Vincent S. Schlegel +1
Odd -theory has the interesting property that it admits an infinite number of inequivalent differential refinements. In this paper we provide a bundle theoretic model for odd di…