3 papers
math.AG2026
Moduli of parabolic bundles on an elliptic curve
Roberto Alvarenga, Inder Kaur, Frank Loray
A lot is known about the moduli space of parabolic bundles over curves of genus , but the lower genus cases are notably different. The goal of this article is to study the…
math.AG2026
Moduli of Higgs bundles over the two punctured elliptic curve
Thiago Fassarella, Frank Loray
We study moduli spaces of Higgs bundles with two poles on an elliptic curve. We describe all singular fibers of the Hitchin map, including the nilpotent cone. To achieve this, we c…
math.AG2025
Character varieties, hexagonal 3-webs and Hess connection
Adjaratou Arame Diaw, Karamoko Diarra, Frank Loray +1
We investigate the existence of some affine structure on SL 2 (C)-character varieties on the four-punctured sphere through web and symplectic geometry. This work provides a new pro…