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Sutured Floer homology, fibrations, and taut depth one foliations

Altman, Irida ; Friedl, Stefan ; Juhász, András



Abstract

For an oriented irreducible 3-manifold M with non-empty toroidal boundary, we describe how sutured Floer homology (SFH) can be used to determine all fibred classes in H-1(M). Furthermore, we show that the SFH of a balanced sutured manifold (M, gamma) detects which classes in H-1(M) admit a taut depth one foliation such that the only compact leaves are the components of R(gamma). The latter had ...

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