Exotic iterated Dehn twists

Seidel, Paul

doi:10.2140/agt.2014.14.3305

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Exotic iterated Dehn twists

Paul Seidel

Algebraic & Geometric Topology 14 (2014) 3305–3324

DOI: 10.2140/agt.2014.14.3305

Abstract

Consider cotangent bundles of exotic spheres with their canonical symplectic structure. They admit automorphisms that preserve the part at infinity of one fiber and which are analogous to the square of a Dehn twist. Pursuing that analogy, we show that they have infinite order up to isotopy (inside the group of all automorphisms with the same behavior).

Keywords

exotic sphere, symplectic automorphism, Floer homology

Mathematical Subject Classification 2010

Primary: 53D40, 57S05

References

Publication

Received: 22 May 2013

Revised: 15 October 2013

Accepted: 16 March 2014

Published: 15 January 2015

Authors

Paul Seidel
Department of Mathematics MIT E18-414 77 Massachusetts Ave Cambridge, MA 02139 USA
http://math.mit.edu/~seidel

Volume 14, issue 6 (2014)