Semi-Free and Quasi-Free S 1 Actions on Homotopy Spheres

William Browder and Ted Petrie

A chapter in Essays on Topology and Related Topics, 1970, pp 136-146 from Springer

Abstract: Abstract An action of S1 on a manifold is semifree, (resp. quasi-free), if the action has just two isotropy groups 0 and S1 (resp. 0 and Zn). All actions considered here will be assumed smooth, i.e., S 1 × M→M is a smooth map.

Keywords: Normal Bundle; Isotropy Subgroup; Standard Sphere; Invariant Submanifold; Homotopy Sphere (search for similar items in EconPapers)
Date: 1970
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-49197-9_13

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DOI: 10.1007/978-3-642-49197-9_13

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