Generation of sutured manifolds

Yi Ni

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arXiv · 2502.02808

Generation of sutured manifolds

Yi Ni

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Abstract

Given a compact, oriented, connected surface $F$, we show that the set of connected sutured manifolds $(M,\gamma)$ with $R_{\pm}(\gamma)\cong F$ is generated by the product sutured manifold $(F,\partial F)\times[0,1]$ through surgery triads. This result has applications in Floer theories of $3$--manifolds. The special case when $F=D^2$ or $S^2$ has been a folklore theorem, which has already been used by experts before.

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BibTeX RIS

Yi Ni. 2025-02-05. Generation of sutured manifolds. https://arxiv.org/abs/2502.02808

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