37 citations · 80 across the 25 of their papers we have counts for
31 papers
Toeplitz Operators on Contact Manifolds and Equivariant K-homology
Alexander Gorokhovsky, Erik van Erp
We present an equivariant generalization of Boutet de Monvel's index theorem for Toeplitz operators on contact manifolds. We prove that the Dirac operator and the Szegö projection…
A note on traces for the Heisenberg calculus
Alexander Gorokhovsky, Erik van Erp
In previous work, we gave a local formula for the index of Heisenberg elliptic operators on contact manifolds. We constructed a cocycle in periodic cyclic cohomology which, when pa…
Cyclic cohomology and the extended Heisenberg calculus of Epstein and Melrose
Alexander Gorokhovsky, Erik van Erp
In this paper we present a formula for the index of a pseudodifferential operator with invertible principal symbol in the extended Heisenberg calculus of Epstein and Melrose. Our r…
Index theory and Noncommutative Geometry: A Survey
Alexander Gorokhovsky, Erik van Erp
This article is an introductory survey of index theory in the context of noncommutative geometry, written for the occasion of the 70th birthday of Alain Connes.
The Heisenberg Calculus, Index Theory and Cyclic (Co)homology
Alexander Gorokhovsky, Erik van Erp
A hypoelliptic operator in the Heisenberg calculus on a compact contact manifold is a Fredholm operator. Its symbol determines an element in the K-theory of the noncommutative alge…
Comparison of spaces associated to DGLA via higher holonomy
Paul Bressler, Alexander Gorokhovsky, Ryszard Nest +1
Fof a nilpotent differential graded Lie algebra whose components vanish in degrees below -1 we construct an explicit equivalence between the nerve of the Deligne 2-groupoid and the…