|
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
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
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
Linking options:
https://www.mathnet.ru/eng/znsl251 https://www.mathnet.ru/eng/znsl/v331/p84
|
Statistics & downloads: |
Abstract page: | 290 | Full-text PDF : | 97 | References: | 41 |
|