Torus actions on oriented manifolds of generalized odd type
classification
🧮 math.DG
keywords
typeactionclosedgeneralizedmanifoldorientedtorusactions
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Landweber and Stong prove that if a closed spin manifold $M$ admits a smooth $S^1$-action of odd type, then its signature $\mathrm{sign}(M)$ vanishes. In this paper, we extend the result to a torus action on a closed oriented manifold with generalized odd type.
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