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

Meng-Jung Chiang, Fan Ding, Otto van Koert

Research output: Contribution to journalArticle

7 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)379-426
Number of pages48
JournalJournal of Symplectic Geometry
Volume12
Issue number2
DOIs
Publication statusPublished - 2014 Jan 1

Fingerprint

Dehn Twist
Contact Manifold
Euler Characteristic
Bundle
Monodromy
Orbifold
Equivariant
Homology
Complement

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Cite this

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Open books for Boothby-Wang bundles, fibered Dehn twists and the mean Euler characteristic. / Chiang, Meng-Jung; Ding, Fan; van Koert, Otto.

In: Journal of Symplectic Geometry, Vol. 12, No. 2, 01.01.2014, p. 379-426.

Research output: Contribution to journalArticle

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