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The cylindrical contact homology of universally tight sutured contact solid tori. (English) Zbl 1316.53093

Summary: We calculate the sutured version of cylindrical contact homology of a sutured contact solid torus \((S^1\times D^2,\Gamma, \xi)\), where \(\Gamma\) consists of \(2n\) parallel sutures of arbitrary slope and \(\xi\) is a universally tight contact structure. In particular, we show that it is nonzero. This computation is one of the first computations of the sutured version of cylindrical contact homology and does not follow from computations in the closed case.

MSC:

53D42 Symplectic field theory; contact homology
57M50 General geometric structures on low-dimensional manifolds
53D10 Contact manifolds (general theory)
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