# Geometric and Topological Invariants of Elliptic Operators

Share this page *Edited by *
*Jerry Kaminker*

This volume contains the proceedings of the AMS-IMS-SIAM Summer Research
Conference on “Geometric and Topological Invariants of Elliptic Operators,”
held in August 1988 at Bowdoin College. Some of the themes covered at the
conference and appearing in the articles are: the use of more sophisticated
asymptotic methods to obtain index theorems, the study of the \(\eta\) invariant
and analytic torsion, and index theory on open manifolds and foliated
manifolds. The current state of noncommutative differential geometry, as well
as operator algebraic and \(K\)-theoretic methods, are also presented in several the articles.

This book will be useful to researchers in index theory, operator algebras,
foliations, and mathematical physics. Topologists and geometers are also
likely to find useful the view the book provides of recent work in this area.
In addition, because of the expository nature of several of the articles, it
will be useful to graduate students interested in working in these areas.

# Table of Contents

## Geometric and Topological Invariants of Elliptic Operators

- Contents ix10 free
- Preface xi12 free
- Asymptotic pseudodifferential operators and index theory 114 free
- A Lefschetz theorem on open manifolds 3346
- Eta invariants and the odd index theorem for coverings 4760
- The Lefschetz fixed point theorem for foliated manifolds 8396
- L2-acyclicity and L2-torsion invariants 91104
- Secondary characteristic numbers and locally free S1-actions 119132
- L2-index theory, eta invariants and values of L-functions 145158
- Non-commutative tori—A case study of non-commutative differentiable manifolds 191204
- Analytic and combinatorial torsion 213226
- Pseudodifferential operators and K -homology, II 245258
- The heat flow along the leaves of a Riemannian foliation 271284
- Aspects of the Novikov conjecture 281294