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

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

2004-09-15

arxiv.org/abs/math/0409240v3

Mathematics

Symplectic Geometry

44 pages. Some mistakes about generators of cylindrical contact homology were correected

Scientific paper

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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