Loading [MathJax]/jax/output/SVG/config.js
Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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
Full-text PDF (211 kB) Citations (2)
References:
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
\Bibitem{Efi15}
\by A.~I.~Efimov
\paper Generalized non-commutative degeneration conjecture
\inbook Modern problems of mathematics, mechanics, and mathematical physics
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 290
\pages 7--17
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3643}
\crossref{https://doi.org/10.1134/S0371968515030012}
\elib{https://elibrary.ru/item.asp?id=24045387}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2015
\vol 290
\issue 1
\pages 1--10
\crossref{https://doi.org/10.1134/S0081543815060012}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000363268500001}
\elib{https://elibrary.ru/item.asp?id=24962789}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84944711302}
Linking options:
  • https://www.mathnet.ru/eng/tm3643
  • https://doi.org/10.1134/S0371968515030012
  • https://www.mathnet.ru/eng/tm/v290/p7
  • This publication is cited in the following 2 articles:
    1. Efimov I A., “Categorical Smooth Compactifications and Generalized Hodge-to-de Rham Degeneration”, Invent. Math., 222:2 (2020), 667–694  crossref  mathscinet  isi
    2. D. B. Kaledin, “Witt vectors, commutative and non-commutative”, Russian Math. Surveys, 73:1 (2018), 1–30  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
      Contact us:
    math-net2025_01@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025