Cellular cohomology of posets with local coefficients

Brent Everitt, Paul Turner

Research output: Contribution to journal › Article

Abstract

We describe a "cellular" approach to the computation of the cohomology of a poset with coefficients in a presheaf. A cellular cochain complex is constructed, described explicitly and shown to compute the cohomology under certain circumstances. The descriptions are refined further for certain classes of posets including the cell posets of regular CW-complexes and geometric lattices.
Original languageEnglish
Pages (from-to)134-158
Number of pages25
JournalJournal of Algebra
Volume439
Early online date28 May 2015
DOIs
Publication statusPublished - 1 Oct 2015

Bibliographical note

© Elsevier 2015. This is an author produced version of a paper published in Journal of Algebra. Uploaded in accordance with the publisher's self-archiving policy.

Keywords

  • Cosmology of a poset with coefficients in a presheaf
  • Cellular cohomology
  • Khovanov homology
  • Brulhat order
  • Geometric lattices

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  • Everitt_Turner2

    © Elsevier 2015. This is an author produced version of a paper published in Journal of Algebra. Uploaded in accordance with the publisher's self-archiving policy.

    Accepted author manuscript, 216 KB

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