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Mathematics > Symplectic Geometry

arXiv:math/0409240 (math)
[Submitted on 15 Sep 2004 (v1), last revised 13 Jun 2005 (this version, v3)]

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

Authors: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.
Comments: 44 pages. Some mistakes about generators of cylindrical contact homology were correected
Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG)
MSC classes: 57R17, 57R65, 58C10
Cite as: arXiv:math/0409240 [math.SG]
  (or arXiv:math/0409240v3 [math.SG] for this version)
  https://doi.org/10.48550/arXiv.math/0409240

Submission history

From: Mei-Lin Yau [view email]
[v1] Wed, 15 Sep 2004 17:22:17 UTC (25 KB)
[v2] Thu, 2 Jun 2005 18:24:55 UTC (34 KB)
[v3] Mon, 13 Jun 2005 19:29:41 UTC (35 KB)
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