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arXiv 2609.29195math.PRmath-phmath.MP

SLE焊接的闭响应演算与Weil–Petersson Kähler几何

Closed Response Calculus for SLE Weldings and Weil--Petersson Kähler Geometry

  • School of Mathematics (Zhuhai), Sun Yat-Sen University(中山大学数学学院(珠海))

机构由 AI 辅助整理,请以论文原文为准。

Chunhao Cai

AI总结:

针对SLE_κ焊接,构造闭响应演算与典范Dirichlet形式,结合两种协方差,给出测度变化与Liouville容量增量。

AI中文摘要:

对于0<κ≤4,我们为SLE_κ焊接构造了一个闭响应演算和一个典范Dirichlet形式。散度协方差结合了Weil–Petersson与Velling–Kirillov形式。积分响应给出了共形可移除焊接上测度的精确变化和典范Liouville容量增量。

英文摘要:

For $0<κ\leq4$, we construct a closed response calculus for $\mathrm{SLE}_κ$ 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.

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