Abstract:We introduce a contact invariant in the bordered sutured Heegaard Floer homology of a three-manifold with boundary. The input for the invariant is a contact manifold
$(M, \xi , \mathcal {F})$
whose convex boundary is equipped with a signed singular foliation
$\mathcal {F}$
closely related to the characteristic foliation. Such a manifold admits a family of foliated open book decompositions classified by a Giroux correspondence, as described in [LV20]. … Show more
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