Torus knots and rational homology balls

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• Ana Lecuona, Glasgow
• Wednesday 13 February 2019, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

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.

This talk is part of the Differential Geometry and Topology Seminar series.

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