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On deformation quantization of quadratic Poisson structures
Communications in Mathematical Physics. 2023. Vol. 404. No. 2. P. 597–628.
Меркулов С. А., Živković M., Letters in Mathematical Physics 2022 Vol. 112 No. 13
Добавлено: 19 декабря 2025 г.
Талалаев Д. В., Шарыгин Г. И., Journal of Noncommutative Geometry 2017 Vol. 11 No. 2 P. 741–756
Добавлено: 28 октября 2020 г.
Springer Nature Switzerland AG, 2018.
Добавлено: 29 января 2019 г.
Хорошкин А. С., Mekulov S., Willwacher T., Letters in Mathematical Physics 2016 Vol. 106 No. 9 P. 1199–1215
Motivated by the obstruction to the deformation quantization of Poisson structures in infinitedimensions, we introduce the notion of a quantizable odd Lie bialgebra. The main result of the paper is a construction of the highly non-trivial minimal resolution of the properad governing such Lie bialgebras, and its link with the theory of so-called quantizable Poisson structures. ...
Добавлено: 11 сентября 2016 г.
Baranovsky V., Ginzburg V., Каледин Д. Б. и др., Selecta Mathematica, New Series 2016 Vol. 22 No. 1 P. 1–25
Добавлено: 31 августа 2016 г.
Кувабара Т., Transformation Groups 2015 Vol. 20 No. 2 P. 437–461
We study algebras constructed by quantum Hamiltonian reduction associated with symplectic quotients of symplectic vector spaces, including deformed preprojective algebras, symplectic reection algebras (rational Cherednik algebras), and quantization of hypertoric varieties introduced by Musson and Van den Bergh in [MVdB]. We determine BRST cohomologies associated with these quantum Hamiltonian reductions. To compute these BRST cohomologies, ...
Добавлено: 24 июня 2015 г.
Кувабара Т., / Series math "arxiv.org". 2013. No. 1311.1787.
Добавлено: 16 февраля 2015 г.
Кувабара Т., Bellamy G., Pacific Journal of Mathematics 2012 Vol. 260 No. 1 P. 89–127
Based on a construction by Kashiwara and Rouquier, we present an analogue of the Beilinson-Bernstein localization theorem for hypertoric varieties. In this case, sheaves of differential operators are replaced by sheaves of W-algebras. As a special case, our result gives a localization theorem for rational Cherednik algebras associated to cyclic groups. ...
Добавлено: 5 февраля 2013 г.