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

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

1998-04-22

arxiv.org/abs/math/9804105v3

Mathematics

Differential Geometry

35 pages, Theorem 2 added

Scientific paper

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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