Details

Autor(en) / Beteiligte

• González-Prieto, Ángel
• Muñoz, Vicente

Titel

Representation Varieties of Twisted Hopf Links

Ist Teil von

• Mediterranean journal of mathematics, 2023-04, Vol.20 (2), Article 89

Ort / Verlag

Cham: Springer International Publishing

Erscheinungsjahr

2023

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In 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 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.