RT Journal Article
T1 Stratification of SU(r)-character varieties of twisted Hopf links
A1 González-Prieto, Ángel
A1 Logares Jiménez, Marina Lucía
A1 Martínez, Javier
A1 Muñoz, Vicente
AB We describe the geometry of the character variety of representations of the fundamental group of the complement of a Hopf link with n twists, namely Γn=⟨x,y|[xn,y]=1⟩ into the group SU(r). For arbitrary rank, we provide geometric descriptions of the loci of irreducible and totally reducible representations. In the case r=2, we provide a complete geometric description of the character variety, proving that this SU(2)-character variety is a deformation retract of the larger SL(2,C)-character variety, as conjectured by Florentino and Lawton. In the case r=3, we also describe different strata of the SU(3)-character variety according to the semi-simple type of the representation.
YR 2023
FD 2023-03-10
LK https://hdl.handle.net/20.500.14352/73104
UL https://hdl.handle.net/20.500.14352/73104
LA eng
DS Docta Complutense
RD 4 abr 2025