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Closed Response Calculus for SLE Weldings and Weil--Petersson Kähler Geometry
Abstract
For 0<κ≤4, we construct a closed response calculus for SLEκ weldings and a canonical Dirichlet form. The divergence covariance combines the Weil--Petersson and Velling--Kirillov forms. The integrated response gives exact changes of measure and canonical Liouville--capacity increments on conformally removable weldings.
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BibTeX
@misc{cai2026closed,
title = {{Closed Response Calculus for SLE Weldings and Weil--Petersson Kähler Geometry}},
author = {Chunhao Cai},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.29195},
eprint = {2609.29195},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.29195},
}
RIS
TY - UNPB
TI - Closed Response Calculus for SLE Weldings and Weil--Petersson Kähler Geometry
AU - Chunhao Cai
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.29195
UR - https://arxiv.org/abs/2609.29195
AB - For 0<κ≤4, we construct a closed response calculus for SLE_κ weldings and a canonical Dirichlet form. The divergence covariance combines the Weil--Petersson and Velling--Kirillov forms. The integrated response gives exact changes of measure and canonical Liouville--capacity increments on conformally removable weldings.
ER -