69 citations · 178 across the 15 of their papers we have counts for
18 papers
A relationship between the Kauffman bracket skein algebras and Roger-Yang skein algebras of some small surfaces
Chloe Marple, Helen Wong
We calculate the Roger-Yang skein algebra of the annulus with two interior punctures, , and show there is a surjective homomorphism from this algebra…
Asymptotics of quantum invariants of surface diffeomorphisms II: The figure-eight knot complement
Francis Bonahon, Helen Wong, Tian Yang
In earlier work, the authors introduced a conjecture which, for an orientation-preserving diffeomorphism of a surface, connects a certain quantum invariant of …
Consequences of the compatibility of skein algebra and cluster algebra on surfaces
Han-Bom Moon, Helen Wong
We investigate two algebra of curves on a topological surface with punctures - the cluster algebra of surfaces defined by Fomin, Shapiro, and Thurston, and the generalized skein al…
Asymptotics of quantum invariants of surface diffeomorphisms I: conjecture and algebraic computations
Francis Bonahon, Helen Wong, Tian Yang
The Kashaev-Murakami-Murakami Volume Conjecture connects the hyperbolic volume of a knot complement to the asymptotics of certain evaluations of the colored Jones polynomials of th…
The Roger-Yang skein algebra and the decorated Teichmuller space
Han-Bom Moon, Helen Wong
Based on hyperbolic geometric considerations, Roger and Yang introduced an extension of the Kauffman bracket skein algebra that includes arcs. In particular, their skein algebra is…
The Search For Leakage-free Entangling Fibonacci Braiding Gates
Shawn X. Cui, Kevin T. Tian, Jennifer F. Vasquez +2
It is an open question if there are leakage-free entangling Fibonacci braiding gates. We provide evidence to the conjecture for the negative in this paper. We also found a much sim…