Nonlinear descent on moduli of local systems
Junho Peter Whang
TL;DR
This paper proves a structure theorem for integral points on moduli spaces of rank two local systems over surfaces, utilizing mapping class group descent and systole boundedness results.
Contribution
It introduces a novel approach combining mapping class group descent with systole bounds to analyze integral points on moduli spaces.
Findings
Established a structure theorem for integral points
Applied mapping class group descent techniques
Utilized systole boundedness results
Abstract
We establish a structure theorem for the integral points on moduli of special linear rank two local systems over surfaces, using mapping class group descent and boundedness results for systoles of local systems.
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