A Faithful Braid Group Action on the Stable Category of Tricomplexes

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 rarer. In Section 3 of this paper, we rethink a well-known fai...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Authors: Khovanov, Mikhail, Qi, You
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210591
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:A Faithful Braid Group Action on the Stable Category of Tricomplexes. Mikhail Khovanov and You Qi. SIGMA 16 (2020), 019, 32 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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 rarer. 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.
ISSN:1815-0659