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math.AT2018★ 1 cited
Theta Invariants of lens spaces via the BV-BFV formalism
Alberto S. Cattaneo, Pavel Mnev, Konstantin Wernli
The goal of this paper is to investigate the Theta invariant --- an invariant of framed 3-manifolds associated with the lowest order contribution to the Chern-Simons partition func…
math.AT2017★ 15 cited
A cellular topological field theory
Alberto S. Cattaneo, Pavel Mnev, Nicolai Reshetikhin
We present a construction of cellular BF theory (in both abelian and non-abelian variants) on cobordisms equipped with cellular decompositions. Partition functions of this theory a…
math.AT2014★ 12 cited
Lecture notes on torsions
Pavel Mnev
These are the lecture notes for the introductory course on Whitehead, Reidemeister and Ray-Singer torsions, given by the author at the University of Zurich in Spring semester 2014.