Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold
We study the family of ordinary differential equations associated with a Dubrovin-Frobenius manifold along its caustic. Upon just losing an idempotent at the caustic and under a non-degeneracy condition, we write down a normal form for this family and prove that the corresponding fundamental matrix...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2023 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212039 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold. Felipe Reyes. SIGMA 19 (2023), 092, 21 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862727743844646912 |
|---|---|
| author | Reyes, Felipe |
| author_facet | Reyes, Felipe |
| citation_txt | Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold. Felipe Reyes. SIGMA 19 (2023), 092, 21 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We study the family of ordinary differential equations associated with a Dubrovin-Frobenius manifold along its caustic. Upon just losing an idempotent at the caustic and under a non-degeneracy condition, we write down a normal form for this family and prove that the corresponding fundamental matrix solutions are strongly isomonodromic. It is shown that the exponent of formal monodromy is related to the multiplication structure of the Dubrovin-Frobenius manifold along its caustic.
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| first_indexed | 2026-03-21T11:00:05Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212039 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T11:00:05Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Reyes, Felipe 2026-01-23T10:10:40Z 2023 Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold. Felipe Reyes. SIGMA 19 (2023), 092, 21 pages 1815-0659 2020 Mathematics Subject Classification: 53D45; 34M56 arXiv:2209.01062 https://nasplib.isofts.kiev.ua/handle/123456789/212039 https://doi.org/10.3842/SIGMA.2023.092 We study the family of ordinary differential equations associated with a Dubrovin-Frobenius manifold along its caustic. Upon just losing an idempotent at the caustic and under a non-degeneracy condition, we write down a normal form for this family and prove that the corresponding fundamental matrix solutions are strongly isomonodromic. It is shown that the exponent of formal monodromy is related to the multiplication structure of the Dubrovin-Frobenius manifold along its caustic. I would like to thank the referees for the useful comments and corrections that helped improve the readability and proofs of this work. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold Article published earlier |
| spellingShingle | Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold Reyes, Felipe |
| title | Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold |
| title_full | Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold |
| title_fullStr | Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold |
| title_full_unstemmed | Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold |
| title_short | Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold |
| title_sort | isomonodromic deformations along the caustic of a dubrovin-frobenius manifold |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212039 |
| work_keys_str_mv | AT reyesfelipe isomonodromicdeformationsalongthecausticofadubrovinfrobeniusmanifold |