1 citations · 2 across the 5 of their papers we have counts for
5 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…
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 Index Theorem for Toeplitz Operators as a Corollary of Bott Periodicity
Paul Frank Baum, Erik van Erp
This is an expository paper about the index of Toeplitz operators, and in particular Boutet de Monvel's theorem. We prove Boutet de Monvel's theorem as a corollary of Bott periodic…
K-homology and Fredholm operators I: Dirac Operators
Paul Baum, Erik van Erp
This is an expository paper which gives a proof of the Atiyah-Singer index theorem for Dirac operators, presenting the theorem as a computation of the K-homology of a point. This p…
K-homology and index theory on contact manifolds
Paul F. Baum, Erik van Erp
Let X be a closed connected contact manifold. On X there is a naturally arising class of hypoelliptic (but not elliptic) operators which are Fredholm. In this paper we solve the in…