The Gysin sequence and the sl(N) homology of T (2,m)

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The sl(N) homology of the torus knot or link T (2,m)maybe calculated explicitly. By direct comparison, the result is isomorphic to the cohomology of a naturally associated space of SU(N) representations of the knot group. In honor of Tom Mrowka’s 60th birthday, we explain how the Gysin exact sequence may be used to show that these groups are isomorphic without explicitly calculating them.

Original languageEnglish (US)
Title of host publicationFrontiers in Geometry and Topology
EditorsPaul M. N. Feehan, Lenhard L. Ng, Peter S. Ozsvath
PublisherAmerican Mathematical Society
Pages233-251
Number of pages19
ISBN (Print)9781470470876
DOIs
StatePublished - 2024
Externally publishedYes
EventFrontiers in geometry and topology : Summer school and research conference, FGT 2022 - Trieste, Italy
Duration: Aug 1 2022Aug 12 2022

Publication series

NameProceedings of Symposia in Pure Mathematics
Volume109
ISSN (Print)0082-0717
ISSN (Electronic)2324-707X

Conference

ConferenceFrontiers in geometry and topology : Summer school and research conference, FGT 2022
Country/TerritoryItaly
CityTrieste
Period8/1/228/12/22

All Science Journal Classification (ASJC) codes

  • General Mathematics

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