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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2021 Volume 17, 022, 39 pp. (Mi sigma1705)
This article is cited in 2 papers

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

Guilherme F. Almeida

SISSA, via Bonomea 265, Trieste, Italy

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.

Keywords: Dubrovin–Frobenius manifolds, Hurwitz spaces, extended Jacobi groups.

MSC: 53D45

Received: May 30, 2020; in final form February 11, 2021; Published online March 9, 2021

Language: English

DOI: 10.3842/SIGMA.2021.022



Bibliographic databases:
ArXiv: 1907.01436

© Steklov Math. Inst. of RAS, 2025