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Free circle actions on certain simply connected $7-$manifolds (2409.04938v2)

Published 8 Sep 2024 in math.GT and math.AT

Abstract: In this paper, we determine for which nonnegative integers $k$, $l$ and for which homotopy $7-$sphere $\Sigma$ the manifold $kS{2}\times S{5}#lS{3}\times S{4}#\Sigma$ admits a free smooth circle action.

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Open Problems

  1. Existence of nonspin orbit spaces for free circle actions on kS^2×S^5 # lS^3×S^4 # Σ
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Authors (1)

  1. Fupeng Xu
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