Journal of Symplectic Geometry

Open books for Boothby-Wang bundles, fibered Dehn twists and the mean Euler characteristic

River Chiang, Fan Ding, and Otto van Koert

Full-text: Open access

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.

Article information

Source
J. Symplectic Geom., Volume 12, Number 2 (2014), 379-426.

Dates
First available in Project Euclid: 29 August 2014

Permanent link to this document
https://projecteuclid.org/euclid.jsg/1409317934

Mathematical Reviews number (MathSciNet)
MR3210581

Zentralblatt MATH identifier
1320.53107

Citation

Chiang, River; Ding, Fan; van Koert, Otto. Open books for Boothby-Wang bundles, fibered Dehn twists and the mean Euler characteristic. J. Symplectic Geom. 12 (2014), no. 2, 379--426. https://projecteuclid.org/euclid.jsg/1409317934


Export citation