HITCHIN SYSTEMS FOR INVARIANT AND ANTI-INVARIANT VECTOR BUNDLES

Given a smooth projective complex curve X with an involution σ, we study the Hitchin systems for the locus of anti-invariant (resp. invariant) stable vector bundles over X under σ. Using these integrable systems and the theory of the nilpotent cone, we study the irreducibility of these loci. The ant...

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Bibliographic Details
Main Author: Hacen, Z. (Author)
Format: Article
Language:English
Published: American Mathematical Society 2022
Online Access:View Fulltext in Publisher