The cylindrical contact homology of universally tight sutured contact solid tori

Abstract

We calculate the sutured version of cylindrical contact homology of a sutured contact solid torus (S1× D2,, ), where consists of 2n parallel sutures of arbitrary slope and is a universally tight contact structure. In particular, we show that it is non-zero. 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.

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