Algebro-Geometric Solutions of the Generalized Virasoro Constraints
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Algebro-Geometric Solutions of the Generalized Virasoro Constraints
|
|
| Creator |
Plaza Martín, F.J.
|
|
| 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.
|
|
| Date |
2019-02-13T17:01:33Z
2019-02-13T17:01:33Z 2015 |
|
| Type |
Article
|
|
| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/147122 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|