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| Summary: | 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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| ISSN: | 1815-0659 |