Signatures and higher signatures of $S^1$ -quotients
Copyright policy )Signatures and higher signatures of $S^1$ -quotients
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
- University of Michigan–Flint United States
- University of Michigan–Ann Arbor United States
- University of Michigan Ann Arbor United States
Mathematics - Differential Geometry, manifold with singularities, homotopy invariance, \(\widehat{A}\)-genus, Equivariant algebraic topology of manifolds, Differential Geometry (math.DG), Characteristic classes and numbers in differential topology, \(S^1\)-action, higher signature, FOS: Mathematics, Index theory and related fixed-point theorems on manifolds, semifree action, signature
Mathematics - Differential Geometry, manifold with singularities, homotopy invariance, \(\widehat{A}\)-genus, Equivariant algebraic topology of manifolds, Differential Geometry (math.DG), Characteristic classes and numbers in differential topology, \(S^1\)-action, higher signature, FOS: Mathematics, Index theory and related fixed-point theorems on manifolds, semifree action, signature
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