K-homology and index theory on contact manifolds |
| |
Authors: | Paul F. Baum Erik van Erp |
| |
Affiliation: | 1. Pennsylvania State University, University Park, PA, 16802, U.S.A 2. Dartmouth College, 6188 Kemeny Hall, Hanover, NH, 03755, U.S.A
|
| |
Abstract: | This paper applies K-homology to solve the index problem for a class of hypoelliptic (but not elliptic) operators on contact manifolds. K-homology is the dual theory to K-theory. We explicitly calculate the K-cycle (i.e., the element in geometric K-homology) determined by any hypoelliptic Fredholm operator in the Heisenberg calculus. The index theorem of this paper precisely indicates how the analytic versus geometric K-homology setting provides an effective framework for extending formulas of Atiyah–Singer type to non-elliptic Fredholm operators. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|