Bordered invariants of pairs of sutured manifolds with torus boundary

Thomas Hockenhull

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arXiv · 2202.11146

Bordered invariants of pairs of sutured manifolds with torus boundary

Thomas Hockenhull

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Abstract

We establish a framework for extending invariants of sutured manifolds to invariants of pairs of sutured manifolds who differ by attaching a basic slice along a torus boundary component. In the particular case of (bordered-)sutured Floer homology we show that this recovers the bordered-sutured Floer homology of a corresponding bordered-sutured three-manifold - though the framework is broad enough that it should be applicable in the setting of other invariants of sutured manifolds.

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Thomas Hockenhull. 2022-02-22. Bordered invariants of pairs of sutured manifolds with torus boundary. https://arxiv.org/abs/2202.11146

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