Author:
González-Prieto Ángel,Muñoz Vicente
Abstract
AbstractIn this paper, we study the representation theory of the fundamental group of the complement of a Hopf link with n twists. A general framework is described to analyze the $${{\,\textrm{SL}\,}}_r({\mathbb {C}})$$
SL
r
(
C
)
-representation varieties of these twisted Hopf links as byproduct of a combinatorial problem and equivariant Hodge theory. As application, close formulas of their E-polynomials are provided for ranks 2 and 3, both for the representation and character varieties.
Funder
Ministerio de Ciencia e Innovación
Publisher
Springer Science and Business Media LLC
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