Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions
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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2024 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2024
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212264 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions. Hiroyuki Fuji and Masahide Manabe. SIGMA 20 (2024), 043, 86 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862687016474378240 |
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| author | Fuji, Hiroyuki Manabe, Masahide |
| author_facet | Fuji, Hiroyuki Manabe, Masahide |
| citation_txt | Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions. Hiroyuki Fuji and Masahide Manabe. SIGMA 20 (2024), 043, 86 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2026-03-17T13:21:34Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-212264 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-17T13:21:34Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Fuji, Hiroyuki Manabe, Masahide 2026-02-03T07:57:34Z 2024 Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions. Hiroyuki Fuji and Masahide Manabe. SIGMA 20 (2024), 043, 86 pages 1815-0659 2020 Mathematics Subject Classification: 81T45; 14D21; 14N10 arXiv:2303.14154 https://nasplib.isofts.kiev.ua/handle/123456789/212264 https://doi.org/10.3842/SIGMA.2024.043 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. The authors thank Kohei Iwaki, Kazumi Okuyama, Kento Osuga, and Yuji Terashima for discussions and useful comments. One of the authors (H.F.) is grateful to Jørgen Ellegaard Andersen for instructive discussions on the geometric recursions. The authors also thank the anonymous referees for helpful and constructive comments, which improved the quality of this manuscript. This work was supported by JSPS KAKENHI Grant Numbers JP18K03281, JP20K03601, JP20K03931, JP21H04994, and JP22H01117. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions Article published earlier |
| spellingShingle | Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions Fuji, Hiroyuki Manabe, Masahide |
| title | Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions |
| title_full | Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions |
| title_fullStr | Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions |
| title_full_unstemmed | Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions |
| title_short | Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions |
| title_sort | some generalizations of mirzakhani's recursion and masur-veech volumes via topological recursions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212264 |
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