Braid group actions on matrix factorizations
Abstract
Let $X$ be a smooth scheme with an action of a reductive algebraic group $G$ over an algebraically closed field $k$ of characteristic zero. We construct an action of the extended affine Braid group on the $G$equivariant absolute derived category of matrix factorizations on the Grothendieck variety times $T^*X$ with potential given by the GrothendieckSpringer resolution times the moment map composed with the natural pairing.
 Publication:

arXiv eprints
 Pub Date:
 October 2015
 arXiv:
 arXiv:1510.07588
 Bibcode:
 2015arXiv151007588A
 Keywords:

 Mathematics  Representation Theory
 EPrint:
 25 pages