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arxiv: 0909.3465 · v1 · submitted 2009-09-18 · 🧮 math.SG · math.GT

Torsion and Open Book Decompositions

classification 🧮 math.SG math.GT
keywords bookopenbindingtorsionc-barcomplementcontactdecomposition
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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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