Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8256038 | Journal of Geometry and Physics | 2016 | 15 Pages |
Abstract
A principal Higgs bundle (P,Ï) over a singular curve X is a pair consisting of a principal bundle P and a morphism Ï:XâAdPâΩX1. We construct the moduli space of principal Higgs G-bundles over an irreducible singular curve X using the theory of decorated vector bundles. More precisely, given a faithful representation Ï:GâSl(V) of G, we consider principal Higgs bundles as triples (E,q,Ï), where E is a vector bundle with rk(E)=dimV over the normalization XË of X, q is a parabolic structure on E and Ï:Ea,bâL is a morphism of bundles, L being a line bundle and Ea,bâ(Eâa)âb a vector bundle depending on the Higgs field Ï and on the principal bundle structure.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Alessio Lo Giudice, Andrea Pustetto,