3 papers
math.AG2020
Surfaces, braids, Stokes matrices, and points on spheres
Yu-Wei Fan, Junho Peter Whang
Moduli spaces of points on -spheres carry natural actions of braid groups. For , , and , we prove that these symmetries extend to actions of mapping class groups of p…
math.NT2018
The rank two -curvature conjecture on generic curves
Anand Patel, Ananth N. Shankar, Junho Peter Whang
We prove the -curvature conjecture for rank two vector bundles with connection on generic curves, by combining deformation techniques for families of varieties and topological a…
math.NT2018
Arithmetic of curves on moduli of local systems
Junho Peter Whang
We investigate the arithmetic of algebraic curves on coarse moduli spaces for special linear rank two local systems on surfaces with fixed boundary traces. We prove a structure the…