Fundamental Groups of Character Varieties: Surfaces and Tori

Abstract

We compute the fundamental group of moduli spaces of Lie group valued representations of surface and torus groups.

v2: 12 pages, minor edits, accepted for publication at Mathematische Zeitschrift

References in corpus (3)

• The topology of moduli spaces of free group representations
• On the fundamental group of Hom(Z^k,G)
• Connected Components of The Space of Surface Group Representations

Cited by in corpus (10)

• Orderability and Dehn filling
• Homotopy Groups of Free Group Character Varieties
• Homological stability for spaces of commuting elements in Lie groups
• Poincare series of character varieties for nilpotent groups
• Energy of sections of the Deligne-Hitchin twistor space
• Wonderful Compactification of Character Varieties
• On the second homotopy group of spaces of commuting elements in Lie groups
• Bad Representations and Homotopy of Character Varieties
• Fundamental group of moduli of principal bundles on curves
• Brauer group of moduli of Higgs bundles and connections