Global geometry on moduli of local systems for surfaces with boundary
Algebraic Geometry
2020-10-07 v2 Geometric Topology
Abstract
We show that every coarse moduli space, parametrizing complex special linear rank two local systems with fixed boundary traces on a surface with nonempty boundary, is log Calabi-Yau in that it has a normal projective compactification with trivial log canonical divisor. We connect this to a novel symmetry of generating series for counts of essential multicurves on the surface.
Keywords
Cite
@article{arxiv.1612.02518,
title = {Global geometry on moduli of local systems for surfaces with boundary},
author = {Junho Peter Whang},
journal= {arXiv preprint arXiv:1612.02518},
year = {2020}
}
Comments
41 pages, 3 figures; accepted for publication in Compositio Mathematica