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This article is cited in 6 scientific papers (total in 6 papers)
A Faithful Braid Group Action on the Stable Category of Tricomplexes
Mikhail Khovanova, You Qib a Department of Mathematics, Columbia University, New York, NY 10027, USA
b Department of Mathematics, University of Virginia, Charlottesville, VA 22904, USA
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:
braid group, categorical action, bicomplexes, spectral sequence, tricomplexes, stable category.
Received: November 7, 2019; in final form March 19, 2020; Published online March 29, 2020
Citation:
Mikhail Khovanov, You Qi, “A Faithful Braid Group Action on the Stable Category of Tricomplexes”, SIGMA, 16 (2020), 019, 32 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1556 https://www.mathnet.ru/eng/sigma/v16/p19
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