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
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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."
@article{ZNSL_2006_331_a6,
author = {P. N. Mnev},
title = {On the simplicial super-$BF$ model},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {84--90},
publisher = {mathdoc},
volume = {331},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_331_a6/}
}
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/