Homology of coloured posets: A generalisation of Khovanov's cube construction

Brent Everitt; Paul Turner

doi:10.1016/j.jalgebra.2009.04.005

Homology of coloured posets: A generalisation of Khovanov's cube construction

Brent Everitt, Paul Turner

Mathematics

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

Abstract

We define a homology theory for a certain class of posets equipped with a pre-sheaf of modules. We show that when restricted to Boolean lattices this homology is isomorphic to the homology of the "cube" complex defined by Khovanov. (C) 2009 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	429-448
Number of pages	20
Journal	Journal of Algebra
Volume	322
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2009.04.005
Publication status	Published - 15 Jul 2009

Keywords

Khovanov homology
Poser homology
Coloured poset
MATRIX FACTORIZATIONS
LINK HOMOLOGY
CATEGORIFICATION

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10.1016/j.jalgebra.2009.04.005

http://www.sciencedirect.com/science/article/pii/S0021869309001859

Cite this

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AB - We define a homology theory for a certain class of posets equipped with a pre-sheaf of modules. We show that when restricted to Boolean lattices this homology is isomorphic to the homology of the "cube" complex defined by Khovanov. (C) 2009 Elsevier Inc. All rights reserved.

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KW - Poser homology

KW - Coloured poset

KW - MATRIX FACTORIZATIONS

KW - LINK HOMOLOGY

KW - CATEGORIFICATION

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JO - Journal of Algebra

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Homology of coloured posets: A generalisation of Khovanov's cube construction

Abstract

Keywords

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