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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 331, Pages 84–90 (Mi znsl251)  

On the simplicial super-$BF$ model

P. N. Mnev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
References:
Abstract: This note is a brief introduction to the results on the simplicial super-BF model obtained by the author in the framework of the program proposed by A. Losev. These results and more comprehensive explanations will be published elsewhere. We regard them as a step toward solving the problem of constructing combinatorial Chern–Simons theory, proposed by M. Atiyah. We also advertise the algebraic view on the simplicial super-$BF$ model as a deformation of the de Rham algebra on a manifold in the (yet to be defined) category of "quantum $L_\infty$-algebras."
Received: 27.06.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 141, Issue 4, Pages 1429–1431
DOI: https://doi.org/10.1007/s10958-007-0050-4
Bibliographic databases:
UDC: 512.662.5
Language: Russian
Citation: P. N. Mnev, “On the simplicial super-$BF$ model”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIV, Zap. Nauchn. Sem. POMI, 331, POMI, St. Petersburg, 2006, 84–90; J. Math. Sci. (N. Y.), 141:4 (2007), 1429–1431
Citation in format AMSBIB
\Bibitem{Mne06}
\by P.~N.~Mnev
\paper On the simplicial super-$BF$ model
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~XIV
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 331
\pages 84--90
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl251}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2251343}
\zmath{https://zbmath.org/?q=an:1101.81066}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 141
\issue 4
\pages 1429--1431
\crossref{https://doi.org/10.1007/s10958-007-0050-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846781635}
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