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Detecting Positivity from Link Homology

Offered By: Banach Center via YouTube

Tags

Khovanov Homology Courses Algebraic Topology Courses Knot Theory Courses

Course Description

Overview

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Explore Khovanov homology and its applications in detecting link positivity in this 58-minute lecture by Marithania Silvero from the University of Seville. Delve into the categorification of Jones polynomial and examine results related to Khovanov homology of fibered positive links. Learn about the extension of Stosic's result on braid positive links and discover how these findings can aid in detecting positivity in certain links. Investigate Khovanov homology of cable links and consider computational data suggesting potential extensions to L-space knots. Gain insights into this collaborative research with M. Kegel, N. Manikandan, and L. Mousseau, presented at the Banach Center.

Syllabus

Detecting positivity from link homology


Taught by

Banach Center

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