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L-space surgeries on iterated satellites by torus links

Presented by: 
Sarah Rasmussen University of Cambridge
Date: 
Monday 30th January 2017 - 15:30 to 16:30
Venue: 
INI Seminar Room 1
Abstract: 
Satellites by torus links provide multi-component versions of cables.  I will describe the region of L-space surgeries on any torus-link satellite of any L-space knot, with a result that precisely extends Hedden’s and Hom’s analogous result for cables.  More generally, I will characterize the region of L-space surgeries for iterated torus-link satellites, including the case of algebraic links.  This is joint work with Maciej Borodzik.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons