Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 13, Number 3 (2013), 1815-1856.
Dehn surgery, rational open books and knot Floer homology
By recent results of Baker, Etnyre and Van Horn-Morris, a rational open book decomposition defines a compatible contact structure. We show that the Heegaard Floer contact invariant of such a contact structure can be computed in terms of the knot Floer homology of its (rationally null-homologous) binding. We then use this description of contact invariants, together with a formula for the knot Floer homology of the core of a surgery solid torus, to show that certain manifolds obtained by surgeries on bindings of open books carry tight contact structures.
Algebr. Geom. Topol., Volume 13, Number 3 (2013), 1815-1856.
Received: 8 May 2012
Revised: 13 October 2012
Accepted: 15 November 2012
First available in Project Euclid: 19 December 2017
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Hedden, Matthew; Plamenevskaya, Olga. Dehn surgery, rational open books and knot Floer homology. Algebr. Geom. Topol. 13 (2013), no. 3, 1815--1856. doi:10.2140/agt.2013.13.1815. https://projecteuclid.org/euclid.agt/1513715601