Shanghai Institute for Mathematics and Interdisciplinary Sciences

On integrable structures on non–compact boundaries in three–dimensional gravity

We study three-dimensional Einstein gravity with negative cosmological constant on non-compact spatial boundaries within the Chern-Simons formulation. Using an exact fluid/gravity correspondence, we derive a closed radial flow equation for the quasi-local stress tensor and show t...

Estimation of an average causal response function in a high-dimensional sample selection model with application to US Job Corps program

Average causal response function (ACRF) is a valuable tool for assessing treatment effects with dose functions, particularly in the presence of endogeneity. Motivated by the US Job Corps program, this paper studies the identification and estimation of an ACRF under sample selecti...

On the Schubert calculus of the quantum K-theory for partial flag manifolds: a 3d A-model perspective

A bstract We further investigate the 3d gauged linear sigma model (GLSM)/ quantum K-theory correspondence for partial flag manifolds X ≡ Fl( k ; n ). This is a 3d uplift of the 2d GLSM/quantum cohomology correspondence with the 3d theory compactified on $$ {\mathbb{R}}^2\times {S...