2 papers
math.AT2026
Local Laplacian: theory and models for data analysis
Jian Liu, Hongsong Feng, Kefeng Liu
While topological data analysis has emerged as a powerful paradigm for structural inference, its foundational tools, notably persistent homology and the persistent Laplacian, are f…
math.AG2025
Higher Weil-Petersson volumes of the moduli space of super Riemann surfaces
Xuanyu Huang, Kefeng Liu, Hao Xu
Inspired by the theory of JT supergravity, Stanford-Witten derived a remarkable recursion formula of Weil-Petersson volumes of moduli space of super Riemann surfaces. It is the sup…