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math.AG2025
On Higgs bundles
Anton M. Zeitlin
We investigate the moduli space of holomorphic Higgs bundles over a compact Riemann surface. The supergroup , the simplest non-trivial example beyond abelian cas…
math.AG2025
-systems and tropical geometry
Rahul Singh, Anton M. Zeitlin
We investigate the system of polynomial equations, known as -systems, which are closely related to the so-called Bethe ansatz equations of the XXZ spin chain, using the methods…
math.AG2024
Geometric realizations of the Bethe ansatz equations
Anton M. Zeitlin
These lecture notes are devoted to the recent progress in the geometric aspects of quantum integrable systems based on quantum groups solved using the Bethe ansatz technique. One p…