23 citations · 119 across the 20 of their papers we have counts for
8 papers · 1 filter
Equivariant Index on Toric Contact Manifolds
Pedram Hekmati, Marcos Orseli
We compute the equivariant index of the twisted horizontal Dolbeault operator on compact toric contact manifolds of Reeb type. The operator is elliptic transverse to the Reeb folia…
A foliated Hitchin-Kobayashi correspondence
David Baraglia, Pedram Hekmati
We prove an analogue of the Hitchin-Kobayashi correspondence for compact, oriented, taut Riemannian foliated manifolds with transverse Hermitian structure. In particular, our Hitch…
Moduli Spaces of Contact Instantons
David Baraglia, Pedram Hekmati
We construct the moduli space of contact instantons, an analogue of Yang-Mills instantons defined for contact metric -manifolds and initiate the study of their structure. In the…
Transitive Courant Algebroids, String Structures and T-duality
David Baraglia, Pedram Hekmati
In this paper, we use reduction by extended actions to give a construction of transitive Courant algebroids from string classes. We prove that T-duality commutes with the reduction…
The Faddeev-Mickelsson-Shatashvili anomaly and lifting bundle gerbes
Pedram Hekmati, Michael K. Murray, Danny Stevenson +1
In gauge theory, the Faddeev-Mickelsson-Shatashvili anomaly arises as a prolongation problem for the action of the gauge group on a bundle of projective Fock spaces. In this paper,…
The general caloron correspondence
Pedram Hekmati, Michael K. Murray, Raymond F. Vozzo
We outline in detail the general caloron correspondence for the group of automorphisms of an arbitrary principal -bundle over a manifold , including the case of the gauge…
Fractional Loop Group and Twisted K-Theory
Pedram Hekmati, Jouko Mickelsson
We study the structure of abelian extensions of the group of -differentiable loops (in the Sobolev sense), generalizing from the case of central extension of the smooth l…
Integrability Criterion for Abelian Extensions of Lie Groups
Pedram Hekmati
We establish a criterion for when an abelian extension of infinite-dimensional Lie algebras integrates to a corresponding Lie group extension of by , where is…