English

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

Differential Geometry 2007-05-23 v3

Abstract

We define and study the signature, A-hat genus and higher signatures of the quotient space of an S1S^1-action on a closed oriented manifold. We give applications to questions of positive scalar curvature and to an Equivariant Novikov Conjecture.

Keywords

Cite

@article{arxiv.math/9804105,
  title  = {Signatures and Higher Signatures of $S^1$-Quotients},
  author = {John Lott},
  journal= {arXiv preprint arXiv:math/9804105},
  year   = {2007}
}

Comments

35 pages, Theorem 2 added