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Free torus actions and twisted suspensions

Galaz Garcia, Fernando; Reiser, Philipp

Authors

Philipp Reiser



Abstract

We express the total space of a principal circle bundle over a connected sum of two manifolds in terms of the total spaces of circle bundles over each summand, provided certain conditions hold. We then apply this result to provide sufficient conditions for the existence of free circle and torus actions on connected sums of products of spheres and obtain a topological classification of closed, simply-connected manifolds with a free cohomogeneity-four torus action. As a corollary, we obtain infinitely-many manifolds with Riemannian metrics of positive Ricci curvature and isometric torus actions.

Citation

Galaz Garcia, F., & Reiser, P. (in press). Free torus actions and twisted suspensions. Forum of Mathematics, Sigma,

Journal Article Type Article
Acceptance Date Nov 1, 2024
Deposit Date Dec 14, 2024
Journal Forum of Mathematics, Sigma
Print ISSN 2050-5094
Electronic ISSN 2050-5094
Publisher Cambridge University Press
Peer Reviewed Peer Reviewed
Public URL https://durham-repository.worktribe.com/output/3221522
Publisher URL https://www.cambridge.org/core/journals/forum-of-mathematics-sigma