PreprintCC BY-SA 4.0arXiv
A Wolpert Theorem for shearing coordinates
Abstract
A theorem from Wolpert bounds the Weil--Petersson distance from a hyperbolic surface to a maximally noded surface in terms of the lengths of the underlying pants decomposition. We prove analogues for punctured surfaces both in terms of the lambda-lengths and in terms of the shearing coordinates of an ideal triangulation.
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BibTeX
@misc{abadie2026wolpert,
title = {{A Wolpert Theorem for shearing coordinates}},
author = {Marie Abadie},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05045},
eprint = {2611.05045},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05045},
note = {CC BY-SA 4.0},
}
RIS
TY - UNPB
TI - A Wolpert Theorem for shearing coordinates
AU - Marie Abadie
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.05045
UR - https://arxiv.org/abs/2611.05045
AB - A theorem from Wolpert bounds the Weil--Petersson distance from a hyperbolic surface to a maximally noded surface in terms of the lengths of the underlying pants decomposition. We prove analogues for punctured surfaces both in terms of the lambda-lengths and in terms of the shearing coordinates of an ideal triangulation.
ER -