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Signatures and Higher Signatures of $S^1$-Quotients

By John Lott

Abstract

We define and study the signature, A-hat genus and higher signatures of the quotient space of an $S^1$-action on a closed oriented manifold. We give applications to questions of positive scalar curvature and to an Equivariant Novikov Conjecture.Comment: 35 pages, Theorem 2 adde

Topics: Mathematics - Differential Geometry
Year: 1999
OAI identifier: oai:arXiv.org:math/9804105

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