Involutions on S6 with 3–dimensional fixed point set

Olbermann, Martin

doi:10.2140/agt.2010.10.1905

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Involutions on $S^6$ with $3$–dimensional fixed point set

Martin Olbermann

Algebraic & Geometric Topology 10 (2010) 1905–1932

DOI: 10.2140/agt.2010.10.1905

Abstract

In this article, we classify all involutions on $S^{6}$ 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 $ℂ P^{3}$ ’s.

Keywords

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

Mathematical Subject Classification 2000

Primary: 57S17

Secondary: 55M35, 57R65

References

Publication

Received: 5 May 2010

Revised: 22 July 2010

Accepted: 13 August 2010

Published: 17 September 2010

Authors

Martin Olbermann
Max-Planck-Institut für Mathematik Vivatsgasse 7 53111 Bonn Germany

Volume 10, issue 4 (2010)