Signatures and Higher Signatures of $S^1$-Quotients
Abstract
Description
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.
35 pages, Theorem 2 added
35 pages, Theorem 2 added