PreprintCC BY 4.0arXiv
Super Teichmüller Space
Abstract
The paper contains three results. First, we give a global quotient presentation of the supermoduli space of genus g>1 super Riemann surfaces. Second, we prove that the moduli stack of marked super Riemann surfaces, which we call super Teichmüller space, is a complex analytic Deligne Mumford superstack. Third, we construct an étale atlas for super Teichmüller space whose underlying topological space is a disjoint union of 22g contractible unit balls.
Related
- Totally Geodesic Submanifolds of Teichmüller Space in Complex Dimension at Least Three
- Local convexity obstructions for bounded realizations of Teichmüller space
- Puncture-Forgetting Maps for Measured Foliations and Applications in Teichmüller Space and Complex Dynamics
- Space of Geometric Gibbs Measures: Uniqueness, Ergodicity, and Teichmüller Complex Manifold Structure
- Density of length ratios on Teichmüller space
BibTeX
@misc{ott2026super,
title = {{Super Teichmüller Space}},
author = {Nadia Ott},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.03488},
eprint = {2610.03488},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.03488},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Super Teichmüller Space
AU - Nadia Ott
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2610.03488
UR - https://arxiv.org/abs/2610.03488
AB - The paper contains three results. First, we give a global quotient presentation of the supermoduli space of genus g>1 super Riemann surfaces. Second, we prove that the moduli stack of marked super Riemann surfaces, which we call super Teichmüller space, is a complex analytic Deligne Mumford superstack. Third, we construct an étale atlas for super Teichmüller space whose underlying topological space is a disjoint union of 2^2g contractible unit balls.
ER -