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math.GT2025
On the Jacobian of the Douady-Earle extension
Chris Connell, Yuping Ruan, Shi Wang
Given an isotopy class between two closed hyperbolic surfaces, the Douady--Earle extension provides a unique analytic diffeomorphism representative. In this paper we investigate th…
math.GT2025
Homological dimension of discrete subgroups in higher rank simple Lie groups
Chris Connell, D. B. McReynolds, Shi Wang
We investigate the homological dimensions of discrete subgroups of non-compact simple Lie groups using a flow recently introduced by the authors. Using new estimates on the critica…