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Odd Khovanov's arc algebra

Volume 241 / 2018

Grégoire Naisse, Pedro Vaz Fundamenta Mathematicae 241 (2018), 143-178 MSC: Primary 17D99. DOI: 10.4064/fm328-6-2017 Published online: 1 December 2017

Abstract

We construct an odd version of Khovanov’s arc algebra $H^n$. Extending the center to elements that anticommute, we get a subalgebra that is isomorphic to the oddification of the cohomology of the $(n,n)$-Springer variety. We also prove that the odd arc algebra can be twisted into an associative algebra.

Authors

  • Grégoire NaisseInstitut de Recherche en Mathématique et Physique
    Université Catholique de Louvain
    Chemin du Cyclotron 2
    1348 Louvain-la-Neuve, Belgium
    e-mail
  • Pedro VazInstitut de Recherche en Mathématique et Physique
    Université Catholique de Louvain
    Chemin du Cyclotron 2
    1348 Louvain-la-Neuve, Belgium
    e-mail

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