Signatures and higher signatures of $S^1$-quotients

@article{Lott1998SignaturesAH,
  title={Signatures and higher signatures of 
\$S^1\$-quotients},
  author={J. Lott},
  journal={Mathematische Annalen},
  year={1998},
  volume={316},
  pages={617-657}
}
  • J. Lott
  • Published 1998
  • Mathematics
  • Mathematische Annalen
  • Abstract. We define and study the signature, $\widehat{A}$-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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