Hitchin components

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:contains Fuchsian locus
gptkbp:describes Connected components of the character variety of surface group representations into split real Lie groups containing the Fuchsian representations
gptkbp:dimensions (2g-2)dim(G)
gptkbp:field gptkb:Lie_groups
differential geometry
representation theory
gptkbp:G split real simple Lie group
gptkbp:generalizes Teichmüller space for PSL(2,R)
https://www.w3.org/2000/01/rdf-schema#label Hitchin components
gptkbp:introduced gptkb:Nigel_Hitchin
gptkbp:introducedIn 1992
gptkbp:namedAfter gptkb:Nigel_Hitchin
gptkbp:relatedTo gptkb:Teichmüller_space
Higgs bundles
character variety
surface group representations
gptkbp:studiedIn gptkb:higher_Teichmüller_theory
gptkbp:surface closed oriented surface of genus g > 1
gptkbp:bfsParent gptkb:higher_Teichmüller_spaces
gptkbp:bfsLayer 7