L-space fillings and generalized solid tori

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Publication date: 16 March 2016

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} i m e s S^{2}

and resolve a question asked by Rasmussen and Rasmussen.

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