Categorifications of the colored Jones polynomial

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dc.creatorKhovanov, Mikhail
dc.date2003-02-06
dc.date.accessioned2026-07-07T06:26:13Z
dc.date.available2026-07-07T06:26:13Z
dc.descriptionThe colored Jones polynomial of links has two natural normalizations: one in which the n-colored unknot evaluates to [n+1], the quantum dimension of the (n+1)-dimensional irreducible representation of quantum sl(2), and the other in which it evaluates to 1. For each normalization we construct a bigraded cohomology theory of links with the colored Jones polynomial as the Euler characteristic.
dc.description23 pages, latex, 16 eps figures
dc.identifierhttps://arxiv.org/abs/math/0302060
dc.identifierhttp://arxiv.org/abs/math/0302060
dc.identifierJ. Knot theory and its Ramifications 14 (2005) no.1, 111--130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97044
dc.subjectQuantum Algebra
dc.subject81R50, 57M27, 18G35
dc.titleCategorifications of the colored Jones polynomial
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