166 citations · 449 across the 35 of their papers we have counts for
40 papers
Noncommutative Polygonal Cluster Algebras
Zachary Greenberg, Dani Kaufman, Merik Niemeyer +1
We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein-…
Invariant multi-functions and Hamiltonian flows for surface group representations
Fernando Camacho-Cadena, James Farre, Anna Wienhard
Goldman defined a symplectic form on the smooth locus of the -character variety of a closed, oriented surface for a Lie group satisfying very general hypotheses. He then…
Positivity, cross-ratios and the Collar Lemma
Jonas Beyrer, Olivier Guichard, François Labourie +2
We prove that -positive representations of fundamental groups of surfaces (possibly cusped or of infinite type) satisfy a collar lemma, and their associated cross-ratios are pos…
-like Properties of Matrices Over Noncommutative Rings and Generalizations of Markov Numbers
Zachary Greenberg, Dani Kaufman, Anna Wienhard
We study matrices over noncommutative rings with anti-involution, with a special focus on the symplectic group . We define traces and dete…
Fiber bundles associated with Anosov representations
Daniele Alessandrini, Sara Maloni, Nicolas Tholozan +1
Anosov representations of a hyperbolic group into a semisimple Lie group are known to admit cocompact domains of discontinuity in flag varieties , endowing the com…
Parametrizing spaces of positive representations
Olivier Guichard, Eugen Rogozinnikov, Anna Wienhard
Using Lusztig's total positivity in split real Lie groups V. Fock and A. Goncharov have introduced spaces of positive (framed) representations. For general semisimple Lie groups a…