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On overtwisted,
right-veering open books
Paolo Lisca |
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Vol. 257 (2012), No. 1, 219–225
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Abstract |
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We exhibit infinitely many overtwisted, right-veering, non-destabilizable open books, thus providing infinitely many counterexamples to a conjecture of Honda, Kazez and Matić. The page of all our open books is a four-holed sphere and the underlying 3-manifolds are lens spaces. |
Keywords
contact surgery, destabilizable diffeomorphisms, Giroux’s
correspondence, open books, overtwisted contact structures,
right-veering diffeomorphisms
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Mathematical Subject Classification 2010
Primary: 57R17
Secondary: 53D10
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Milestones
Received: 26 July 2011
Accepted: 5 December 2011
Published: 19 June 2012
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Authors |
| Paolo Lisca | |
| Dipartimento di Matematica “L.
Tonelli” Università di Pisa Largo Bruno Pontecorvo, 5 56127 Pisa Italy |
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