2 citations · 2 across the 4 of their papers we have counts for
4 papers
Regularized Integrals on Configuration Spaces of Riemann Surfaces and Cohomological Pairings
Jie Zhou
We extend the notion of regularized integrals introduced by Li-Zhou that aims to assign finite values to divergent integrals on configuration spaces of Riemann surfaces. We then gi…
The construction of -splitting map
Guoyi Xu, Jie Zhou
For a geodesic ball with non-negative Ricci curvature and almost maximal volume, without using compactness argument, we construct an -splitting map on a concentric geodesic ball…
Bi-Lipschitz rigidity for -almost CMC surfaces
Yuchen Bi, Jie Zhou
For smooth surfaces properly immersed in the unit ball of $\RR^n$ with density close to one and small Willmore energy, the optimal a priori estimate(bi-Lipschitz and para…
Regularized Integrals on Elliptic Curves and Holomorphic Anomaly Equations
Si Li, Jie Zhou
We derive residue formulas for the regularized integrals (introduced by Li-Zhou) on configuration spaces of elliptic curves. Based on these formulas, we prove that the regularized…