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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 019, 32 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.019 (Mi sigma1556) 		 
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
Full-text PDF (637 kB) Citations (6)
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DOI: https://doi.org/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.
Keywords: braid group, categorical action, bicomplexes, spectral sequence, tricomplexes, stable category.
Funding agency Grant number
National Science Foundation DMS-1406065
DMS-1664240
DMS-1807425
DMS-1947532
M.K. was partially supported by grants DMS-1406065, DMS-1664240, and DMS-1807425 from the NSF, while Y.Q. was partially supported by the NSF grant DMS-1947532 when working on this paper.
Received: November 7, 2019; in final form March 19, 2020; Published online March 29, 2020
Bibliographic databases:
Document Type: Article
MSC: 20F36; 18G05; 18G40
Language: English
Citation: Mikhail Khovanov, You Qi, “A Faithful Braid Group Action on the Stable Category of Tricomplexes”, SIGMA, 16 (2020), 019, 32 pp.
Citation in format AMSBIB
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\by Mikhail~Khovanov, You~Qi
\paper A Faithful Braid Group Action on the Stable Category of Tricomplexes
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\papernumber 019
\totalpages 32
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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