Free involutions on S^1xS^n
Bj{\o}rn Jahren, S{\l}awomir Kwasik
TL;DR
This paper classifies free involutions on the product of a circle and an n-sphere, and uses this to compute the concordance classes of homeomorphisms of real projective spaces.
Contribution
It provides a complete classification of free involutions on S^1×S^n and derives new results on the concordance classes of homeomorphisms of RP^n.
Findings
Classification of free involutions on S^1×S^n
New computation of concordance classes of homeomorphisms of RP^n
Enhanced understanding of symmetries in topological manifolds
Abstract
Topological free involutions on S^1xS^n are classified up to conjugation. As a byproduct we obtain a new computation of the group of concordance classes of homeomorphisms of the projective space RP^n.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research