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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 290, Pages 7–17
DOI: https://doi.org/10.1134/S0371968515030012 (Mi tm3643) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Generalized non-commutative degeneration conjecture

A. I. Efimov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.1134/S0371968515030012
Abstract: We propose a generalization of the Kontsevich–Soibelman conjecture on the degeneration of the Hochschild-to-cyclic spectral sequence for a smooth compact differential graded category. Our conjecture states identical vanishing of a certain map between bi-additive invariants of arbitrary small differential graded categories over a field of characteristic zero. We show that this generalized conjecture follows from the Kontsevich–Soibelman conjecture and the so-called conjecture on smooth categorical compactification.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: March 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 290, Issue 1, Pages 1–10
DOI: https://doi.org/10.1134/S0081543815060012
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: A. I. Efimov, “Generalized non-commutative degeneration conjecture”, Modern problems of mathematics, mechanics, and mathematical physics, Collected papers, Trudy Mat. Inst. Steklova, 290, MAIK Nauka/Interperiodica, Moscow, 2015, 7–17; Proc. Steklov Inst. Math., 290:1 (2015), 1–10
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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