A note on the \mathbb Z₂-equivariant Montgomery-Yang correspondence

2009/08/21 by Yang Su, Su, Yang
Mathematics · #57R65 #57S25 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #FOS: Mathematics #Geometric Topology (math.GT) #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57R65 #msc:57S25

paper · pdf · doi:10.48550/arxiv.0908.3053

5 pages

arxiv created 2009/08/21 · openalex publication_date 2009/08/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, a classification of free involutions on 3-dimensional homotopy complex projective spaces is given. By the \mathbb Z₂-equivariant Montgomery-Yang correspondence, we obtain all smooth involutions on S⁶ with fixed-point set an embedded S³.

Citations

• Free involutions on S² × S³

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