Torus knots and rational homology balls

Ana Lecuona (Glasgow)

Monday 4th March 16:00-17:00 Maths 311B

Abstract

In this talk we will try to motivate and partially answer the question: which integer surgeries on torus knots result in 3 manifolds which bound rational homology balls? Fixing the torus knot to be positive, we have a complete answer in the case of positive surgeries, while the case of negative surgeries is widely open. Our approach combines Kirby calculus, Heegaard-Floer homology and the combinatorial study of lattice embeddings. This work is a  joint project with P. Aceto, M. Golla and K. Larson.

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