Аннотация:
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.
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.
Поступила:7 ноября 2019 г.; в окончательном варианте 19 марта 2020 г.; опубликована 29 марта 2020 г.
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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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\yr 2020
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\papernumber 019
\totalpages 32
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Xia W., “Deformations of Dolbeault Cohomology Classes”, Math. Z., 300:3 (2022), 2931–2973
Stelzig J., “On the Structure of Double Complexes”, J. Lond. Math. Soc.-Second Ser., 104:2 (2021), 956–988
D. Popovici, J. Stelzig, L. Ugarte, “Higher-page Bott-Chern and Aeppli cohomologies and applications”, J. Reine Angew. Math., 777 (2021), 157–194
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