dc.contributor.author |
Porti, J. |
dc.date.accessioned |
2023-06-27T08:37:09Z |
dc.date.available |
2023-06-27T08:37:09Z |
dc.date.issued |
2022-10-10 |
dc.identifier.uri |
http://hdl.handle.net/2072/535725 |
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. |
dc.language.iso |
eng |
dc.publisher |
Mathematical Sciences Publishers |
dc.relation.ispartof |
Algebraic and Geometric Topology |
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 |
dc.title |
Dimension of representation and character varieties for two-and three-orbifolds |
dc.type |
info:eu-repo/semantics/article |
dc.type |
info:eu-repo/semantics/acceptedVersion |
dc.embargo.terms |
cap |
dc.identifier.doi |
10.2140/agt.2022.22.1905 |
dc.rights.accessLevel |
info:eu-repo/semantics/openAccess |
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. |