Torsion and Open Book Decompositions

Mathematics – Symplectic Geometry

Scientific paper

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10 pages, 5 figures

Scientific paper

We show that if (B,\pi) is an open book decomposition of a contact 3-manifold
(Y,\xi), then the complement of the binding B has no Giroux torsion. We also
prove the sutured Heegaard-Floer c-bar invariant of the binding of an open book
is non-zero.

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