Positive integral surgeries on iterated torus knots bounding rational homology balls
Lisa Lokteva (University of Glasgow)
Monday 4th October, 2021 16:00-17:00 Online
Abstract
Recently, Aceto, Golla, Larson and Lecuona used Donaldson's theorem to classify the positive integral surgeries on torus knots that bound rational homology 4-balls. In this talk I will present my work on classifying positive integral surgeries on iterated torus knots bounding rational homology 4-balls. I will describe how to use blow-up resolutions of algebraic curves in \mathbb{CP}^2 to obtain negative-definite plumbing descriptions of a large class of surgeries on iterated torus knots, and how to use these descriptions to study if they bound rational homology balls.
The talk will be preceded by a tea time at 3:45pm. The Zoom link for the seminar is https://uofglasgow.zoom.us/j/98078798957 and the passcode is the genus of the two-dimensional sphere (4 letters, all lowercase).
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