Bar-Natan's Khovanov homology for coloured links

Marco Mackaay; Paul Turner

doi:10.2140/pjm.2007.229.429

Bar-Natan's Khovanov homology for coloured links

Marco Mackaay, Paul Turner

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

Using Bar-Natan's link homology we define a homology theory for framed links whose components are labelled by irreducible representations of the group U_q (s{fraktur}l{fraktur}₂). We then compute this explicitly.

Original language	English
Pages (from-to)	429-446
Number of pages	18
Journal	Pacific Journal of Mathematics
Volume	229
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2007.229.429
Publication status	Published - Feb 2007

Keywords

Bar-Natan theory
Coloured links
Khovanov homology

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10.2140/pjm.2007.229.429

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title = "Bar-Natan's Khovanov homology for coloured links",

abstract = "Using Bar-Natan's link homology we define a homology theory for framed links whose components are labelled by irreducible representations of the group Uq (s{fraktur}l{fraktur}2). We then compute this explicitly.",

keywords = "Bar-Natan theory, Coloured links, Khovanov homology",

author = "Marco Mackaay and Paul Turner",

year = "2007",

month = feb,

doi = "10.2140/pjm.2007.229.429",

language = "English",

volume = "229",

pages = "429--446",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "University of California, Berkeley",

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T1 - Bar-Natan's Khovanov homology for coloured links

AU - Mackaay, Marco

AU - Turner, Paul

PY - 2007/2

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N2 - Using Bar-Natan's link homology we define a homology theory for framed links whose components are labelled by irreducible representations of the group Uq (s{fraktur}l{fraktur}2). We then compute this explicitly.

AB - Using Bar-Natan's link homology we define a homology theory for framed links whose components are labelled by irreducible representations of the group Uq (s{fraktur}l{fraktur}2). We then compute this explicitly.

KW - Bar-Natan theory

KW - Coloured links

KW - Khovanov homology

U2 - 10.2140/pjm.2007.229.429

DO - 10.2140/pjm.2007.229.429

M3 - Article

SN - 0030-8730

VL - 229

SP - 429

EP - 446

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

Bar-Natan's Khovanov homology for coloured links

Abstract

Keywords

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