From Adler-Gelfand-Dickey Brackets to Logarithmic Dubrovin-Frobenius manifolds
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909648390455296 |
|---|---|
| author | Dinar, Yassir |
| author_facet | Dinar, Yassir |
| contents | We construct a new local Poisson bracket compatible with the second unconstrained Adler-Gelfand-Dickey bracket. The resulting bihamiltonian structure admits a dispersionless limit and the leading term defines a logarithmic Dubrovin-Frobenius manifold. Furthermore, we show that this Dubrovin-Frobenius manifold can be constructed on the orbits space of the standard representation of the permutation group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_11569 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From Adler-Gelfand-Dickey Brackets to Logarithmic Dubrovin-Frobenius manifolds Dinar, Yassir Differential Geometry Mathematical Physics 37K25, 37k30, 53D45, 17B80, 53D17, 13A50, 17B68, 17B08 We construct a new local Poisson bracket compatible with the second unconstrained Adler-Gelfand-Dickey bracket. The resulting bihamiltonian structure admits a dispersionless limit and the leading term defines a logarithmic Dubrovin-Frobenius manifold. Furthermore, we show that this Dubrovin-Frobenius manifold can be constructed on the orbits space of the standard representation of the permutation group. |
| title | From Adler-Gelfand-Dickey Brackets to Logarithmic Dubrovin-Frobenius manifolds |
| topic | Differential Geometry Mathematical Physics 37K25, 37k30, 53D45, 17B80, 53D17, 13A50, 17B68, 17B08 |
| url | https://arxiv.org/abs/2506.11569 |