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The Batalin-Vilkovisky formalism in quantum field theory was originally invented to address the difficult problem of finding diagrammatic descriptions of oscillating integrals with degenerate critical points.
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J. Stasheff, The (secret?) homological algebra of the Batalin-Vilkovisky approach , Talk given at Conference on Secondary Calculus and Cohomological Physics, Moscow, Russia, 24-31 Aug, 1997
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Michael Polyak, Feynman diagrams for pedestrians and mathematicians , Graphs and patterns in mathematics and theoretical physics, Proc. Sympos. Pure Math., vol. 73, Amer. Math. Soc., Providence, RI, 2005, pp. 15–42. MR 2131010 (2005m:81109)
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C. Albert, B. Bleile, and J. Fröhlich, Batalin-Vilkovisky integrals in finite dimensions , J. Math. Phys. 51
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Owen Gwilliam, Factorization Algebras and Free Field Theories , Ph.D. thesis, 2012, Thesis (Ph.D.)–Northwestern University, p. 282. MR 3034665
2012
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Theo Johnson-Freyd, Homological perturbation theory for nonperturbative integrals , Lett. Math. Phys. 105
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Owen Gwilliam and Rune Haugseng, Linear Batalin–Vilkovisky quantization as a functor of ∞ \infty -categories , Selecta Math. (N.S.) 24
2018
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D. Fiorenza, An introduction to the Batalin-Vilkovisky formalism , Comptes Rendus des Rencontres Mathematiques de Glanon (2003)
2003
Cited alongside, same era.
M. Crainic, On the perturbation lemma, and deformations , arXiv:math/0403266
Cited in the paper.
Si Li, Effective Batalin–Vilkovisky quantization and geometric applications , arXiv:1709.00669
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