Algebro-Geometric Solutions of the Generalized Virasoro Constraints
We will describe algebro-geometric solutions of the KdV hierarchy whose τ-functions in addition satisfy a generalization of the Virasoro constraints (and, in particular, a generalization of the string equation). We show that these solutions are closely related to embeddings of the positive half of t...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2015 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147122 |
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| Cite this: | Algebro-Geometric Solutions of the Generalized Virasoro Constraints / F.J. Plaza Martín // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 40 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-147122 |
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Plaza Martín, F.J. 2019-02-13T17:01:33Z 2019-02-13T17:01:33Z 2015 Algebro-Geometric Solutions of the Generalized Virasoro Constraints / F.J. Plaza Martín // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 40 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 14H71; 14D24; 81R10; 81T40 DOI:10.3842/SIGMA.2015.052 https://nasplib.isofts.kiev.ua/handle/123456789/147122 We will describe algebro-geometric solutions of the KdV hierarchy whose τ-functions in addition satisfy a generalization of the Virasoro constraints (and, in particular, a generalization of the string equation). We show that these solutions are closely related to embeddings of the positive half of the Virasoro algebra into the Lie algebra of differential operators on the circle. Our results are tested against the case of Witten-Kontsevich τ-function. As by-products, we exhibit certain links of our methods with double covers of the projective line equipped with a line bundle and with Gl(n)-opers on the punctured disk. I wish to thank Edward Frenkel, Esteban G´omez and, very specially, Motohico Mulase for stimulating discussions and to the referees for their remarks. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Algebro-Geometric Solutions of the Generalized Virasoro Constraints Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Algebro-Geometric Solutions of the Generalized Virasoro Constraints |
| spellingShingle |
Algebro-Geometric Solutions of the Generalized Virasoro Constraints Plaza Martín, F.J. |
| title_short |
Algebro-Geometric Solutions of the Generalized Virasoro Constraints |
| title_full |
Algebro-Geometric Solutions of the Generalized Virasoro Constraints |
| title_fullStr |
Algebro-Geometric Solutions of the Generalized Virasoro Constraints |
| title_full_unstemmed |
Algebro-Geometric Solutions of the Generalized Virasoro Constraints |
| title_sort |
algebro-geometric solutions of the generalized virasoro constraints |
| author |
Plaza Martín, F.J. |
| author_facet |
Plaza Martín, F.J. |
| publishDate |
2015 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We will describe algebro-geometric solutions of the KdV hierarchy whose τ-functions in addition satisfy a generalization of the Virasoro constraints (and, in particular, a generalization of the string equation). We show that these solutions are closely related to embeddings of the positive half of the Virasoro algebra into the Lie algebra of differential operators on the circle. Our results are tested against the case of Witten-Kontsevich τ-function. As by-products, we exhibit certain links of our methods with double covers of the projective line equipped with a line bundle and with Gl(n)-opers on the punctured disk.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147122 |
| citation_txt |
Algebro-Geometric Solutions of the Generalized Virasoro Constraints / F.J. Plaza Martín // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 40 назв. — англ. |
| work_keys_str_mv |
AT plazamartinfj algebrogeometricsolutionsofthegeneralizedvirasoroconstraints |
| first_indexed |
2025-12-07T20:30:06Z |
| last_indexed |
2025-12-07T20:30:06Z |
| _version_ |
1850882818297561088 |