Signatures and Higher Signatures of S¹-Quotients

1998/04/22 by John Lott, Lott, John
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.DG

paper · pdf · doi:10.48550/arxiv.math/9804105

35 pages, Theorem 2 added

openalex publication_date 1998/04/22 · arxiv created 1999/11/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define and study the signature, A-hat genus and higher signatures of the quotient space of an S¹-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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