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math.DSJun 1, 2022
1
citations (OpenAlex)
authors
  • Giovanni Forni
  • William Goldman
  • Sean Lawton
  • Carlos Matheus
institutions
  • Analyse, Géométrie et Modélisation
  • Centre de Mathématiques Laurent Schwartz
  • CY Cergy Paris Université
  • University of Maryland, College Park
arXiv abstractPDF
paper

Non-ergodicity on SU(2) and SU(3) character varieties of the once-punctured torus

arXiv:2206.14183 · doi:10.5802/ahl.216

Abstract

Utilizing KAM theory, we show that there are certain levels in relative SU(2) and SU(3) character varieties of the once-punctured torus where the action of a single hyperbolic element is not ergodic.

arXiv comment36 pages, 4 figures, accepted for publication in the journal Annales Henri Lebesgue

References in corpus (11)

  • Generators, Relations and Symmetries in Pairs of 3x3 Unimodular Matrices
  • The topology of moduli spaces of free group representations
  • Topology of character varieties of Abelian groups
  • Poisson Geometry of SL(3,C)-Character Varieties Relative to a Surface with Boundary
  • Stable splittings, spaces of representations and almost commuting elements in Lie groups
  • On the divergence of Birkhoff Normal Forms
  • Homotopy Groups of Free Group Character Varieties
  • The mapping class group action on SU(3)-character varieties
  • Wonderful Compactification of Character Varieties
  • Poisson maps between character varieties: gluing and capping
  • Dynamics on nilpotent character varieties

Cited by in corpus (1)

  • Dynamics on the SU(2,1)-character variety of the one-holed torus
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