Local Moduli of Semisimple Frobenius Coalescent Structures

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Cotti, Giordano, Dubrovin, Boris, Guzzetti, Davide
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210710
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Local Moduli of Semisimple Frobenius Coalescent Structures. Giordano Cotti, Boris Dubrovin and Davide Guzzetti. SIGMA 16 (2020), 040, 105 pages

We extend the analytic theory of Frobenius manifolds to semisimple points with coalescing eigenvalues of the operator of multiplication by the Euler vector field. We clarify which freedoms, ambiguities, and mutual constraints are allowed in the definition of monodromy data, in view of their importan...