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A Holomorphic 0-Surgery Model for Open Books with Application to Cylindrical Contact Homology

Mei-Lin Yau
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Abstract

We give a simple model in the complex plane of the 0-surgery along a fibered knot of a closed 3-manifold M to yield a mapping torus M'. This model allows explicit relations between pseudoholomorphic curves in the symplectizations of M and M'. As an application we use it to compute the cylindrical contact homology of open books resulting from a positive Dehn twist on a torus with boundary.

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Mei-Lin Yau. 2005-06-13. A Holomorphic 0-Surgery Model for Open Books with Application to Cylindrical Contact Homology. https://arxiv.org/abs/math/0409240

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