Dr. Pavel Mnev

Publikationen

Alberto Cattaneo, Pavel Mnev, Michele Schiavina (2025). BV quantization. Encyclopedia of Mathematical Physics (Second Edition), Volume 5, 543–555 (2025). https://doi.org/10.1016/B978-0-323-95703-8.00095-1 [pdf]

Alberto Cattaneo, Pavel Mnev (2023). A note on gluing via fiber products in the (classical) BV-BFV formalism. J. Geom. Phys. 192, 104956 (2023), 25 pages . 10.1016/j.geomphys.2023.104956 [pdf]

Konstantin Walter Wernli, Pavel Mnev, Alberto Cattaneo (2017). Split Chern-Simons theory in the BV-BFV formalism. In "Quantization, Geometry and Noncommutative Structures in Mathematics and Physics", Cardona et al., Springer 2017

Alberto Cattaneo, Pavel Mnev, Konstantin Walter Wernli (2017). Split Chern-Simons theory in the BV-BFV formalism. 20 pages, 2 figures; in Quantization, Geometry and Noncommutative Structures in Mathematics and Physics, Springer (2017). 10.1007/978-3-319-65427-0_9 [pdf]

Alberto Cattaneo, Pavel Mnev, Nicolai Reshetikhin (2016). Perturbative BV theories with Segal-like gluing. 8 pages [pdf]

Alberto Cattaneo, Pavel Mnev, Nicolai Reshetikhin (2015). Perturbative quantum gauge theories on manifolds with boundary. Commun. Math. Phys. 357, 631–730 (2018): https://doi.org/10.1007/s00220-017-3031-6; see also: hedgehog BV. Also on Springer Nature.. 10.1007/s00220-017-3031-6 [pdf]

Alberto Cattaneo, Pavel Mnev, Nicolai Reshetikhin (2015). Semiclassical quantization of classical field theories. 10.1007/978-3-319-09949-1_9 [pdf]

Alberto Cattaneo, Pavel Mnev, Nicolai Reshetikhin (2014). Classical BV Theories on Manifolds with Boundary. Preprint Nr. 04-2014. 10.1007/s00220-014-2145-3 [pdf]

Alberto Cattaneo, Pavel Mnev (2014). Wave relations. Preprint Nr. 03-2014. 10.1007/s00220-014-2130-x [pdf]

Alberto Cattaneo, Pavel Mnev, Nicolai Reshetikhin (2012). Classical and Quantum Lagrangian Field Theories with Boundary. 25 pages; Preprint Nr. 07-2012 [pdf]

Alberto Cattaneo, Pavel Mnev, Francesco Bonechi (2012). The Poisson Sigma Model on Closed Surfaces. Preprint Nr. 01-2012. 10.1007/JHEP01(2012)099 [pdf]

Alberto Cattaneo, Pavel Mnev (2009). Remarks on Chern-Simons Invariants. Preprint Nr. 10-2009 Commun. Math. Phys. 293, 803-836 (2010) . 10.1007/s00220-009-0959-1 [pdf]

Alberto Cattaneo, Pavel Mnev, Konstantin Walter Wernli. Quantum Chern–Simons theories on cylinders: BV-BFV partition functions. Commun. Math. Phys. 398, 133–218 (2023). 10.1007/s00220-022-04513-8 [pdf]

Alberto Cattaneo, Pavel Mnev, Konstantin Walter Wernli. Constrained systems, generalized Hamilton–Jacobi actions, and quantization. J. Geometric Mechanics 14, 179–272 (2022). 10.3934/jgm.2022010 [pdf]

Alberto Cattaneo, Pavel Mnev, Konstantin Walter Wernli. Theta invariants of lens spaces via the BV-BFV formalism. Progress in Math. 340, 71–110 (2021). 10.1007/978-3-030-78148-4_3 [pdf]

Alberto Cattaneo, Pavel Mnev, Nicolai Reshetikhin. Poisson sigma model and semiclassical quantization of integrable systems. Reviews in Mathematical Physics 30, 93-118 (2018) . 10.1142/S0129055X18400044 [pdf]

Alberto Cattaneo, Pavel Mnev, Nicolai Reshetikhin. A cellular topological field theory. Commun. Math. Phys. 374, 1229–1320 (2020). 10.1007/s00220-020-03687-3 [pdf]