2004/09/15 by Mei-Lin Yau, Yau, Mei-Lin
Mathematics · #57R17 #57R65 #58C10 #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:57R17 #msc:57R65 #msc:58C10
paper · pdf · doi:10.48550/arxiv.math/0409240
44 pages. Some mistakes about generators of cylindrical contact homology were correected
openalex publication_date 2004/09/15 · arxiv created 2005/06/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.