Vol. 206, No. 1, 2002

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On the Cappell–Lee–Miller gluing theorem

Liviu I. Nicolaescu

Vol. 206 (2002), No. 1, 159–185
Abstract

We prove a generalization of the Cappell-Lee-Miller theorem which we formulate using a new language, of asymptotic maps and asymptotic exact sequences. We also present applications to eigenvalue estimates, approximation of obstruction bundles and gluing of determinant line bundles arising frequently in gauge theory.

Milestones
Received: 20 November 2000
Revised: 18 April 2001
Published: 1 September 2002
Authors
Liviu I. Nicolaescu
Department of Mathematics
University of Notre Dame
Notre Dame, IN 46556