23 citations · 119 across the 20 of their papers we have counts for
21 papers
Moduli Spaces of Connections and B-fields from T-duality with H-flux
Fei Han, Pedram Hekmati, Tsuyoshi Kato +1
We study the geometry of mixed fields, consisting of a connection and a -field on a principal circle bundle over a Riemann surface, from the perspective of gauge theory and T-du…
Floer homotopy type and eta invariants of Seifert -manifolds fibering over
David Baraglia, Pedram Hekmati
We compute the Floer homology and Seiberg-Witten Floer homotopy type of Seifert rational homology -spheres which fiber over . We show that they are all -spaces…
New invariants of involutions from Seiberg-Witten Floer theory
David Baraglia, Pedram Hekmati
We study equivariant Seiberg-Witten Floer theory of rational homology -spheres in the special case where the group action is given by an involution. The case of involutions dese…
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…
Brieskorn spheres, cyclic group actions and the Milnor conjecture
David Baraglia, Pedram Hekmati
In this paper we further develop the theory of equivariant Seiberg-Witten-Floer cohomology of the two authors, with an emphasis on Brieskorn homology spheres. We obtain the followi…
Equivariant Seiberg-Witten-Floer cohomology
David Baraglia, Pedram Hekmati
We develop an equivariant version of Seiberg-Witten-Floer cohomology for finite group actions on rational homology -spheres. Our construction is based on an equivariant version…
Sign choices for orientifolds
Pedram Hekmati, Michael K. Murray, Richard J. Szabo +1
We analyse the problem of assigning sign choices to O-planes in orientifolds of type II string theory. We show that there exists a sequence of invariant -gerbes with ,…
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…
Real bundle gerbes, orientifolds and twisted KR-homology
Pedram Hekmati, Michael K. Murray, Richard J. Szabo +1
We consider Real bundle gerbes on manifolds equipped with an involution and prove that they are classified by their Real Dixmier-Douady class in Grothendieck's equivariant sheaf co…
Arithmetic of singular character varieties and their -polynomials
David Baraglia, Pedram Hekmati
We calculate the -polynomials of the and -character varieties of compact oriented surfaces of any genus and the -polynomials of the $SL_2…
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…
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 …
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…
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…
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…
T-duality of current algebras and their quantization
Pedram Hekmati, Varghese Mathai
In this paper we show that the T-duality transform of Bouwknegt, Evslin and Mathai applies to determine isomorphisms of certain current algebras and their associated vertex algebra…
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…
Calculus structure on the Lie conformal algebra complex and the variational complex
Alberto De Sole, Pedram Hekmati, Victor Kac
We construct a calculus structure on the Lie conformal algebra cochain complex. By restricting to degree one chains, we recover the structure of a g-complex introduced in [DSK]. A…
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…