2000 character limit reached
Parabolic Higgs bundles on projecitive line, quiver varieties and Deligne-Simpson problem
Published 6 Jan 2021 in math.AG | (2101.01913v2)
Abstract: We establish an isomorphism between the moduli space of parabolic Higgs bundles on the projective line and quiver variety of star-shaped quiver. As applications, we can solve the nilpotent case of the Deligne-Simpson problem in a geometrical way; and we can show that there is an algebraically completely integrable system structure on the moduli space as well as quiver variety we concerned.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.