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

John Lott

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arXiv · math/9804105

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

John Lott

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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.

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John Lott. 1999-11-30. Signatures and Higher Signatures of $S^1$-Quotients. https://arxiv.org/abs/math/9804105

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