English

A faithful braid group action on the stable category of tricomplexes

Representation Theory 2020-04-01 v2 Algebraic Topology

Abstract

Bicomplexes of vector spaces frequently appear throughout algebra and geometry. In Section 2 we explain how to think about the arrows in the spectral sequence of a bicomplex via its indecomposable summands. Polycomplexes seem to be much more rare. In Section 3 of this paper we rethink a well-known faithful categorical braid group action via an action on the stable category of tricomplexes.

Keywords

Cite

@article{arxiv.1911.02503,
  title  = {A faithful braid group action on the stable category of tricomplexes},
  author = {Mikhail Khovanov and You Qi},
  journal= {arXiv preprint arXiv:1911.02503},
  year   = {2020}
}

Comments

32 pages. Dedicated to Dmitry Fuchs on his 80th birthday