Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-28T14:12:44.663Z Has data issue: false hasContentIssue false
  • English
  • Français

The spectral flow of the odd signature operator and higher Massey products

Published online by Cambridge University Press:  01 March 1997

PAUL A. KIRK  and
ERIC P. KLASSEN
PAUL A. KIRK
Affiliation:
Department of Mathematics, Indiana University, Bloomington, IN 47405, U.S.A.
ERIC P. KLASSEN
Affiliation:
Department of Mathematics, Florida State University, Tallahassee, FL 32306-3027, U.S.A.
Get access Rights & Permissions [Opens in a new window]

Abstract

Given an analytic path of flat connections on a principal U(N)-bundle over a closed odd-dimensional manifold M, how can we calculate the spectral flow of the corresponding path Dt of signature operators on an associated vector bundle E → M? In this paper we give an algebraic-topological answer to this question in terms of cohomology, cup products and higher Massey products.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 121 , Issue 2 , March 1997 , pp. 297 - 320
Copyright
© Cambridge Philosophical Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)