5 citations · 7 across the 3 of their papers we have counts for
3 papers
math.GT2012
Ptolemy groupoids, shear coordinates and the augmented Teichmuller space
Julien Roger
We start by describing how ideal triangulations on a surface degenerate under pinching of a multicurve. We use this process to construct a homomorphism from the Ptolemy groupoid of…
math.GT2011★ 2 cited
The skein algebra of arcs and links and the decorated Teichmüller space
Julien Roger, Tian Yang
We define an associative algebra AS_h(S) generated by framed arcs and links over a punctured surface S which is a quantization of the Poisson algebra C(S) of arcs and curves on S.…
math.GT2009★ 5 cited
Factorization Rules in Quantum Teichmüller Theory
Julien Roger
We study the representation theory of the quantum Teichmueller space when going to infinity in the classical Teichmueller space. The geometric ingredients are the extension of Thur…