dc.contributor.author
Porti, J.
dc.date.accessioned
2023-06-27T08:37:09Z
dc.date.accessioned
2024-09-19T14:25:19Z
dc.date.available
2023-06-27T08:37:09Z
dc.date.available
2024-09-19T14:25:19Z
dc.date.issued
2022-10-10
dc.identifier.uri
http://hdl.handle.net/2072/535725
dc.description.abstract
We consider varieties of representations and characters of 2 and 3 dimensional orbifolds in semisimple Lie groups, and we focus on computing their dimension. For hyperbolic 3 orbifolds, we consider the component of the variety of characters that contains the holonomy composed with the principal representation, and show that its dimension equals half the dimension of the variety of characters of the boundary. We also show that this is a lower bound for the dimension of generic components. We furthermore provide tools for computing dimensions of varieties of characters of 2 orbifolds, including the Hitchin component. We apply this computation to the dimension growth of varieties of characters of some 3 dimensional manifolds in SL (n, c). © SAE International.
eng
dc.description.sponsorship
I thank the referee for useful suggestions. This research is partially supported by the Micinn/FEDER grant PGC2018-095998-B-I00.
dc.format.extent
48 p.
cat
dc.publisher
Mathematical Sciences Publishers
cat
dc.relation.ispartof
Algebraic and Geometric Topology
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Orbifold; variety of characters; variety of representations
cat
dc.title
Dimension of representation and character varieties for two-and three-orbifolds
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/acceptedVersion
cat
dc.identifier.doi
10.2140/agt.2022.22.1905
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
