A Faithful Braid Group Action on the Stable Category of Tricomplexes

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dc.contributor.authorKhovanov, Mikhail
dc.contributor.authorQi, You
dc.date.accessioned2025-12-12T10:33:14Z
dc.date.issued2020
dc.description.abstractBicomplexes 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.
dc.description.sponsorshipM.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. The first author learned algebraic topology for the first time from the Russian classic by Dmitry Fuchs and Anatolii Fomenko [6] (in its first edition named Homotopic Topology), while the second author enjoyed teaching graduate courses out of this reprinted classic at his previous work institution. It is our great pleasure to dedicate this short note to Dmitry Fuchs on the occasion of his eightieth anniversary.
dc.identifier.citationA Faithful Braid Group Action on the Stable Category of Tricomplexes. Mikhail Khovanov and You Qi. SIGMA 16 (2020), 019, 32 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2020.019
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 20F36; 18G05; 18G40
dc.identifier.otherarXiv:1911.02503
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210591
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleA Faithful Braid Group Action on the Stable Category of Tricomplexes
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2020, том 16, випуск за цей рік