L-space fillings and generalized solid tori

Thomas J. Gillespie

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arXiv · 1603.05016

L-space fillings and generalized solid tori

Thomas J. Gillespie

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Abstract

Much work has been done recently towards trying to understand the topological significance of being an L-space. Building on work of Rasmussen and Rasmussen, we give a topological characterisation of Floer simple manifolds such that all non-longitudinal fillings are L-spaces. We use this to partially classify L-space twisted torus knots in $S^1 \times S^2$ and resolve a question asked by Rasmussen and Rasmussen.

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Thomas J. Gillespie. 2016-03-16. L-space fillings and generalized solid tori. https://arxiv.org/abs/1603.05016

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