Knots, polynomials, and categorification

Research output: Chapter in Book/Report/Conference proceedingChapter


These lectures give an introduction to knot polynomials and their categorifications. Topics covered include the Jones and Alexander polynomials, Khovanov homology of links and tangles, HOMFLY-PT homology, and the Λk-colored HOMFLY-PT polynomial.
Original languageEnglish (US)
Title of host publicationQuantum Field Theory and Manifold Invariants
EditorsDaniel S Freed, Sergei Gukov, Ciprian Manolescu, Constantin Teleman, Ulrike Tillman
PublisherAmerican Mathematical Society
ISBN (Electronic)9781470467210
ISBN (Print)9781470461232
StatePublished - Dec 2 2021
Externally publishedYes

Publication series

NameIAS/Park City Mathematics Series
ISSN (Print)1079-5634
ISSN (Electronic)2472-5064


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