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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Some Generalizations of Mirzakhani's Recursion and Masur–Veech Volumes via Topological Recursions
Hiroyuki Fujia, Masahide Manabebc a Center for Mathematical and Data Sciences and Department of Mathematics, Kobe University,
Rokko, Kobe 657-8501, Japan
b Osaka Central Advanced Mathematical Institute, Osaka Metropolitan University,
3-3-138 Sugimoto, Sumiyoshi-ku, Osaka, 558-8585, Japan
c Department of Mathematics, Graduate School of Science, Osaka University,
Toyonaka, Osaka 560-0043, Japan
Аннотация:
Via Andersen–Borot–Orantin's geometric recursion, a twist of the topological recursion was proposed, and a recursion for the Masur–Veech polynomials was uncovered. The purpose of this article is to explore generalizations of Mirzakhani's recursion based on physical two-dimensional gravity models related to the Jackiw–Teitelboim gravity and to provide an introduction to various realizations of topological recursion. For generalized Mirzakhani's recursions involving a Masur–Veech type twist, we derive Virasoro constraints and cut-and-join equations, and also show some computations of generalized volumes for the physical two-dimensional gravity models.
Ключевые слова:
topological recursion, Weil–Petersson volume, Masur–Veech volume, quantum Airy structure, Jackiw–Teitelboim gravity.
Поступила: 4 апреля 2023 г.; в окончательном варианте 9 мая 2024 г.; опубликована 27 мая 2024 г.
Образец цитирования:
Hiroyuki Fuji, Masahide Manabe, “Some Generalizations of Mirzakhani's Recursion and Masur–Veech Volumes via Topological Recursions”, SIGMA, 20 (2024), 043, 86 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma2045 https://www.mathnet.ru/rus/sigma/v20/p43
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