Torus knots and rational homology balls
Ana Lecuona (Glasgow)
Monday 4th March, 2019 16:00-17:00 Maths 311B
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.