Exotic iterated Dehn twists

Seidel, Paul¹

¹Department of Mathematics, MIT E18-414, 77 Massachusetts Ave, Cambridge, MA 02139, USA

Algebraic and Geometric Topology, Tome 14 (2014) no. 6, pp. 3305-3324

Résumé

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).

Détail

DOI : 10.2140/agt.2014.14.3305

Classification : 53D40, 57S05
Keywords: exotic sphere, symplectic automorphism, Floer homology

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