Скачать или смотреть Prof. Eli Grigsby | Trivial braid detection via Khovanov homology

Speaker: Professor Eli Grigsby (Boston College)
Date: 18th Jan 2017 - 11:30 to 12:30
Venue: INI Seminar Room 1
Title: Trivial braid detection via Khovanov homology
Event: (HTLW01) Winter school workshop
Abstract: In this 3-lecture series we will explore the many ways in which keyrepresentation-theoreticfeatures of the annular Khovanov-Lee homology of braid closures give informationabout thesurfaces they bound in the 4-ball as well astheir dynamics when viewed as mapping classes of the punctured disk.In the first lecture, we will introduce Plamenevskaya's transverse invariant in Khovanov homology and show how it can be used to detect the trivial braid (j. work with J. Baldwin). The proof uses fundamental properties of the left-invariant order on the braid group as well asalgebraic properties of the Khovanov complex of braid closures.

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