Non-fillable invariant contact structures on principal circle bundles and left-handed twists

Meng-Jung Chiang, Fan Ding, Otto Van Koert

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We define symplectic fractional twists, which subsume Dehn twists and fibered twists and use these in open books to investigate contact structures. The resulting contact structures are invariant under a circle action, and share several similarities with the invariant contact structures that were studied by Lutz and Giroux. We show that left-handed fractional twists often give rise to "algebraically overtwisted" contact manifolds, a certain class of non-fillable contact manifolds.

Original languageEnglish
Article number1650024
JournalInternational Journal of Mathematics
Volume27
Issue number3
DOIs
Publication statusPublished - 2016 Mar 1

Fingerprint

Contact Structure
Left handed
Twist
Contact Manifold
Bundle
Circle
Invariant
Fractional
Dehn Twist
Circle Action

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Non-fillable invariant contact structures on principal circle bundles and left-handed twists. / Chiang, Meng-Jung; Ding, Fan; Van Koert, Otto.

In: International Journal of Mathematics, Vol. 27, No. 3, 1650024, 01.03.2016.

Research output: Contribution to journalArticle

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