A Faithful Braid Group Action on the Stable Category of Tricomplexes

• 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
• 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

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...