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7 papers · 1 filter
Presentations for the punctured mapping class groups in terms of Artin groups
Catherine Labruere, Luis Paris
Consider an oriented compact surface F of positive genus, possibly with boundary, and a finite set P of punctures in the interior of F, and define the punctured mapping class group…
On the Toeplitz algebras of right-angled and finite-type Artin groups
John Crisp, Marcelo Laca
The graph product of a family of groups lies somewhere between their direct and free products, with the graph determining which pairs of groups commute and which do not. We show th…
Homeomorphisms of One-dimensional Inverse Limits with Applications to Substitution Tilings, Unstable Manifolds, and Tent Maps
Marcy Barge, James Jacklitch, Gioia Vago
Suppose that f and g are Markov surjections, each defined on a wedge of circles, each fixing the branch point and having the branch point as the only critical value. We show that i…
Strange attractor for the renormalization flow for invariant tori of Hamiltonian systems with two generic frequencies
C. Chandre, H. R. Jauslin
We analyze the stability of invariant tori for Hamiltonian systems with two degrees of freedom by constructing a transformation that combines Kolmogorov-Arnold-Moser theory and ren…
Actions and irreducible representations of the mapping class group
L. Paris
We prove in this paper that the action of the mapping class group on the complex of curves has noncommensurable stabilizers. Following a method due to Burger and de la Harpe, this…
Kontsevich star-product on the dual of a Lie algebra
Giuseppe Dito
We show that on the dual of a Lie algebra $\g$ of dimension , the star-product recently introduced by M. Kontsevich is equivalent to the Gutt star-product on $\g^\ast$. We give…