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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2020 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/210591 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A Faithful Braid Group Action on the Stable Category of Tricomplexes. Mikhail Khovanov and You Qi. SIGMA 16 (2020), 019, 32 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862572702705909760 |
|---|---|
| author | Khovanov, Mikhail Qi, You |
| author_facet | Khovanov, Mikhail Qi, You |
| citation_txt | A Faithful Braid Group Action on the Stable Category of Tricomplexes. Mikhail Khovanov and You Qi. SIGMA 16 (2020), 019, 32 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-17T12:03:35Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210591 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-17T12:03:35Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Khovanov, Mikhail Qi, You 2025-12-12T10:33:14Z 2020 A Faithful Braid Group Action on the Stable Category of Tricomplexes. Mikhail Khovanov and You Qi. SIGMA 16 (2020), 019, 32 pages 1815-0659 2020 Mathematics Subject Classification: 20F36; 18G05; 18G40 arXiv:1911.02503 https://nasplib.isofts.kiev.ua/handle/123456789/210591 https://doi.org/10.3842/SIGMA.2020.019 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. 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Faithful Braid Group Action on the Stable Category of Tricomplexes Article published earlier |
| spellingShingle | A Faithful Braid Group Action on the Stable Category of Tricomplexes Khovanov, Mikhail Qi, You |
| title | A Faithful Braid Group Action on the Stable Category of Tricomplexes |
| title_full | A Faithful Braid Group Action on the Stable Category of Tricomplexes |
| title_fullStr | A Faithful Braid Group Action on the Stable Category of Tricomplexes |
| title_full_unstemmed | A Faithful Braid Group Action on the Stable Category of Tricomplexes |
| title_short | A Faithful Braid Group Action on the Stable Category of Tricomplexes |
| title_sort | faithful braid group action on the stable category of tricomplexes |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210591 |
| work_keys_str_mv | AT khovanovmikhail afaithfulbraidgroupactiononthestablecategoryoftricomplexes AT qiyou afaithfulbraidgroupactiononthestablecategoryoftricomplexes AT khovanovmikhail faithfulbraidgroupactiononthestablecategoryoftricomplexes AT qiyou faithfulbraidgroupactiononthestablecategoryoftricomplexes |