paper

A faithful braid group action on the stable category of tricomplexes

arXiv:1911.02503 · doi:10.3842/SIGMA.2020.019

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.

arXiv comment32 pages. Dedicated to Dmitry Fuchs on his 80th birthday

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