Logarithmic Frobenius structures and Coxeter discriminants

DOI10.1016/j.aim.2006.08.010zbMath1123.53045OpenAlexW2019321003MaRDI QIDQ881961

Alexander P. Veselov, Misha V. Feigin

Publication date: 23 May 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: http://eprints.gla.ac.uk/13152/1/arxiv.html

zbMATH Keywords

root systemshyperplanes arrangementsFrobenius manifoldsCoxeter discriminants

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items

Duality for Jacobi group orbit spaces and elliptic solutions of the WDVV equations ⋮ Purely non-local Hamiltonian formalism, Kohno connections and ∨-systems ⋮ Many-particle mechanics with \(D(2, 1; {\alpha})\) superconformal symmetry ⋮ Generalized Calogero-Moser systems from rational Cherednik algebras ⋮ Generalized Legendre transformations and symmetries of the WDVV equations ⋮ Logarithmic deformations of the rational superpotential/Landau-Ginzburg construction of solutions of the WDVV equations ⋮ Extended supersymmetric Calogero model ⋮ Arrangements and Frobenius like structures ⋮ Weyl groups and elliptic solutions of the WDVV equations ⋮ Tau-functions for quiver gauge theories ⋮ On deformation and classification of ∨-systems ⋮ Extended ⋁-systems and trigonometric solutions to the WDVV equations ⋮ Trigonometric ∨ -systems and solutions of WDVV equations ^*

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a linear structure of the quotient variety by a finite reflexion group
• Frobenius manifolds: Natural submanifolds and induced bi-Hamiltonian structures.
• Deformed quantum Calogero-Moser problems and Lie superalgebras
• Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials
• Deformations of the root systems and new solutions to generalised WDVV equations
• Geometric structures on the complement of a projective arrangement
• \(F\)-manifolds with flat structure and Dubrovin's duality
• Wavefronts and reflection groups
• New integrable generalizations of Calogero–Moser quantum problem
• New integrable deformations of the Calogero-Moser quantum problem
• Solutions of WDVV Equations in Seiberg-Witten Theory from Root Systems
• Locus configurations and \(\lor{}\)-systems\(^{\star{}}\)