We introduce the moduli space of quasi-parabolic S L ( 2 , C ) -Higgs bundles over a compact Riemann surface Σ and consider a natural involution, studying its fixed point locus when Σ is C P 1 and establishing an identification with a moduli space of null polygons in Minkowski 3 -space.
Quasi-parabolic Higgs bundles and null hyperpolygon spaces
Mandini, Alessia
2021-01-01
Abstract
We introduce the moduli space of quasi-parabolic S L ( 2 , C ) -Higgs bundles over a compact Riemann surface Σ and consider a natural involution, studying its fixed point locus when Σ is C P 1 and establishing an identification with a moduli space of null polygons in Minkowski 3 -space.
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