The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group $A_1$

Abstract

We define certain extensions of Jacobi groups of $A_1$, prove an analogue of Chevalley theorem for their invariants, and construct a Dubrovin-Frobenius structure on its orbit space.

References in corpus (11)

• Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants
• Differential geometry of the space of orbits of a Coxeter group
• Frobenius Manifolds: Natural submanifolds and induced bi-Hamiltonian structures
• Extended affine Weyl groups of BCD type, Frobenius manifolds and their Landau-Ginzburg superpotentials
• Frobenius submanifolds
• Unitary Minimal Liouville Gravity and Frobenius Manifolds
• Frobenius manifolds and a new class of extended affine Weyl groups ${\tilde{W}}^{(k,k+1)}(A_l)$
• Multiplication on the tangent bundle
• Polynomial Modular Frobenius Manifolds
• Tri-Hamiltonian Structures of The Egorov Systems
• Second-order integrable Lagrangians and WDVV equations

Cited by in corpus (1)

• Second-order integrable Lagrangians and WDVV equations