Boundary Calculations in Relative E-Theory

摘要

In this paper we develop some applications of the relative E-theory groups [Gut2]. The applications we consider are closely modeled on the applications of the relative K-homology groups [BD2] considered by Baum, Douglas, and Taylor [BDT]. After a preliminary section in which we recall the basic definitions and results of E-theory and relative E-theory, in Section 3 we study in detail how a self-adjoint Extension of a first-order, elliptic differential operator on an open manifold deter- Mines an element of an E-theory group.