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2014 Exotic iterated Dehn twists
Paul Seidel
Algebr. Geom. Topol. 14(6): 3305-3324 (2014). 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).

Citation

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Paul Seidel. "Exotic iterated Dehn twists." Algebr. Geom. Topol. 14 (6) 3305 - 3324, 2014. https://doi.org/10.2140/agt.2014.14.3305

Information

Received: 22 May 2013; Revised: 15 October 2013; Accepted: 16 March 2014; Published: 2014
First available in Project Euclid: 19 December 2017

zbMATH: 1333.53126
MathSciNet: MR3302963
Digital Object Identifier: 10.2140/agt.2014.14.3305

Subjects:
Primary: 53D40 , 57S05

Keywords: exotic sphere , Floer homology , symplectic automorphism

Rights: Copyright © 2014 Mathematical Sciences Publishers

Vol.14 • No. 6 • 2014
MSP
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