Frobenius manifolds for elliptic root systems
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Publication:964025
zbMath1191.53057arXivmath/0611553MaRDI QIDQ964025
Publication date: 14 April 2010
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0611553
Generators, relations, and presentations of groups (20F05) Automorphic forms in several complex variables (32N10) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)
Related Items (6)
Gromov-Witten invariants for mirror orbifolds of simple elliptic singularities ⋮ Frobenius manifolds and a new class of extended affine Weyl groups of BCD-type ⋮ Polynomial modular Frobenius manifolds ⋮ Frobenius manifolds and central invariants for the Drinfeld-Sokolov bihamiltonian structures ⋮ Weyl groups and elliptic solutions of the WDVV equations ⋮ A Frobenius manifold for \(\ell \)-Kronecker quiver
Cites Work
- Extended affine root systems. II: Flat invariants
- Algebraic geometry and analytic geometry
- Period mapping associated to a primitive form
- Extended affine root systems. I: Coxeter transformations
- Infinite-dimensional Lie algebras, theta functions and modular forms
- Root systems and elliptic curves
- On a linear structure of the quotient variety by a finite reflexion group
- Flat structure for the simple elliptic singularity of type \(\widetilde {E}_ 6\) and Jacobi form
- Holomorphic principal bundles over elliptic curves. II: The parabolic construction.
- Frobenius manifold structure on orbit space of Jacobi groups. II
- tt* geometry, Frobenius manifolds, their connections, and the construction for singularities
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