#### Volume 10, issue 4 (2010)

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

### Martin Olbermann

Algebraic & Geometric Topology 10 (2010) 1905–1932
##### 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
##### 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