Fractional Dehn twists and modular invariants
Algebraic Geometry
2020-06-23 v2 Geometric Topology
Abstract
In this note, we establish a relationship between fractional Dehn twist coefficients of Riemann surface automorphisms and modular invariants of holomorphic families of algebraic curves. Specially, we give a characterization of pseudo-periodic maps with nontrivial fractional Dehn twist coefficients. We also obtain some uniform lower bounds of non-zero fractional Dehn twist coefficients.
Keywords
Cite
@article{arxiv.1912.13236,
title = {Fractional Dehn twists and modular invariants},
author = {Xiao-Lei Liu},
journal= {arXiv preprint arXiv:1912.13236},
year = {2020}
}
Comments
This paper has been accepted for publication in SCIENCE CHINA Mathematics