15 citations · 26 across the 10 of their papers we have counts for
10 papers
Coordinates for -web basis elements in closed surfaces
Zhe Sun, Zhihao Wang
The -skein algebra of a closed surface is a quantization of the character variety of , where denotes the genus of the surface. This algebra…
Tropical Fock-Goncharov coordinates for -webs on surfaces II: naturality
Daniel C. Douglas, Zhe Sun
In a companion paper (arXiv 2011.01768), we constructed nonnegative integer coordinates for the collection $…
Volume of the moduli space of unmarked bounded positive convex structures
Zhe Sun
For the moduli space of unmarked convex structures on the surface with negative Euler characteristic, we investigate the subsets of the moduli space defin…
Rank swapping algebra for Grassmannian
Zhe Sun
The rank swapping algebra is the Poisson algebra defined on the ordered pairs of points on a circle using the linking numbers, where a subspace of $(\mathbb{K}^n \times \mathbb…
McShane identities for Higher Teichmüller theory and the Goncharov-Shen potential
Yi Huang, Zhe Sun
We derive generalizations of McShane's identity for higher ranked surface group representations by studying a family of mapping class group invariant functions introduced by Goncha…
The Goldman symplectic form on the PGL(V)-Hitchin component
Zhe Sun, Tengren Zhang
This article is the second of a pair of articles about the Goldman symplectic form on the PGL(V)-Hitchin component of a closed, connected, oriented, hyperbolic surface S. We show t…
Flows on the PGL(V)-Hitchin component
Zhe Sun, Anna Wienhard, Tengren Zhang
In this article we define new flows on the Hitchin components for PGL(V). Special examples of these flows are associated to simple closed curves on the surface and give generalized…
Rank swapping algebra for Fock-Goncharov moduli space
Zhe Sun
The {\em rank swapping algebra} is a Poisson algebra defined on the set of ordered pairs of points of the circle using linking numbers, whose geometric model is given by a cert…
Swapping algebra, Virasoro algebra and discrete integrable system
Zhe Sun
We induce a Poisson algebra on the configuration space of twisted polygons in from the swapping al…
Rank swapping algebra for the Hitchin component
Zhe Sun
F. Labourie [arXiv:1212.5015] characterized the Hitchin components for for any by using the swapping algebra, where the swapping algebra s…