Geodesic
On the simplicial super-$BF$ model
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIV, Tome 331 (2006), pp. 84-90 Cet article a éte moissonné depuis la source Math-Net.Ru

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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." 
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P. N. Mnev. On the simplicial super-$BF$ model. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIV, Tome 331 (2006), pp. 84-90. http://geodesic.mathdoc.fr/item/ZNSL_2006_331_a6/

[1] M. Atiyah, The Geometry and Physics of Knots, Cambridge Univ. Press, Cambridge, 1990 | MR | Zbl

[2] M. Aleksandrov, M. Kontsevich, A. Schwarz, O. Zaboronsky, The geometry of the master equation and topological quantum field theory, arXiv: /hep-th/9502010