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June 2014 Open books for Boothby-Wang bundles, fibered Dehn twists and the mean Euler characteristic
River Chiang, Fan Ding, Otto van Koert
J. Symplectic Geom. 12(2): 379-426 (June 2014).

Abstract

We examine open books with powers of fibered Dehn twists as monodromy. The resulting contact manifolds can be thought of as Boothby-Wang orbibundles over symplectic orbifolds. Using the mean Euler characteristic of equivariant symplectic homology we can distinguish these contact manifolds and hence show that some fibered Dehn twists are not symplectically isotopic to the identity relative to the boundary. This complements results of Biran and Giroux.

Citation

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River Chiang. Fan Ding. Otto van Koert. "Open books for Boothby-Wang bundles, fibered Dehn twists and the mean Euler characteristic." J. Symplectic Geom. 12 (2) 379 - 426, June 2014.

Information

Published: June 2014
First available in Project Euclid: 29 August 2014

zbMATH: 1320.53107
MathSciNet: MR3210581

Rights: Copyright © 2014 International Press of Boston

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Vol.12 • No. 2 • June 2014
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