Algebraic & Geometric Topology 10 (2010) 1905–1932

DOI: 10.2140/agt.2010.10.1905

Abstract

In this article, we classify all involutions on S⁶ with 3–dimensional fixed point set. In particular, we discuss the relation between the classification of involutions with fixed point set a knotted 3–sphere and the classification of free involutions on homotopy CP³’s.

Keywords

involution, sphere, conjugation, fixed point set, surgery, Smith theory

Mathematical Subject Classification

Primary: 57S17

Secondary: 55M35, 57R65

References

Publication

Received: 5 May 2010
Revised: 22 July 2010
Accepted: 13 August 2010
Published: 17 September 2010

Authors