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The spectral flow of the odd signature operator and higher Massey products
Published online by Cambridge University Press: 01 March 1997
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
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