The SU(2)-character variety of the closed surface of genus 2

The SU(2)-character variety of the closed surface of genus 2

We study the symplectic geometry of the SU ( 2 ) -representation variety of the compact oriented surface of genus 2. We use the Goldman flows to identify subsets of the moduli space with corresponding subsets of P 3 ( C ) . We also define and study two antisymplectic involutions on the moduli space...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Geometriae dedicata 2018-02, Vol.192 (1), p.171-187
Hauptverfasser: Ho, Nan-Kuo, Jeffrey, Lisa C., Nguyen, Khoa Dang, Xia, Eugene Z.
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Convex and Discrete Geometry
Differential Geometry
Hyperbolic Geometry
Mathematics
Mathematics and Statistics
Original Paper
Projective Geometry
Set theory
Topology
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We study the symplectic geometry of the SU ( 2 ) -representation variety of the compact oriented surface of genus 2. We use the Goldman flows to identify subsets of the moduli space with corresponding subsets of P 3 ( C ) . We also define and study two antisymplectic involutions on the moduli space and their fixed point sets.
ISSN:0046-5755
1572-9168
DOI:10.1007/s10711-017-0296-z