4 papers
The Thurston spine and equivariant cell decompositions in genus 2
Ni An, Jiexing Chen, Ingrid Irmer +1
The Thurston spine of the genus 2 Teichmüller space of closed compact surfaces is obtained. In particular, we identify all mapping class group-orbits of filling sets of systoles in…
Length minimization of filling pairs on hyperbolic surfaces
Ni An, Bhola Nath Saha, Bidyut Sanki
A filling pair of a surface is a pair of simple closed curves in minimal position such that the complement of in is a disjoint union of topological di…
Small genus, small index critical points of the systole function
Ni An, Ferdinand Ihringer, Ingrid Irmer
In this paper the index of a family of critical points of the systole function on Teichmüller space is calculated. The members of this family are interesting in that their existenc…
Algebraic aspects of holomorphic quantum modular forms
Ni An, Stavros Garoufalidis, Shana Yunsheng Li
Matrix-valued holomorphic quantum modular forms are intricate objects that arise in successive refinements of the Volume Conjecture of knots and involve three holomorphic, asymptot…