Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 17 (2021), 022, 39 pages      arXiv:1907.01436      https://doi.org/10.3842/SIGMA.2021.022

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

Guilherme F. Almeida
SISSA, via Bonomea 265, Trieste, Italy

Received May 30, 2020, in final form February 11, 2021; Published online March 09, 2021

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.

Key words: Dubrovin-Frobenius manifolds; Hurwitz spaces; extended Jacobi groups.

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