7 citations · 13 across the 8 of their papers we have counts for
17 papers
A geometric Elliott invariant and noncommutative rigidity of mapping tori
Hao Guo, Valerio Proietti, Hang Wang
We prove a rigidity property for mapping tori associated to minimal topological dynamical systems using tools from noncommutative geometry. More precisely, we show that under mild…
Covering complexity, scalar curvature, and quantitative -theory
Hao Guo, Guoliang Yu
We establish a relationship between a certain notion of covering complexity of a Riemannian spin manifold and positive lower bounds on its scalar curvature. This makes use of a pai…
Prismatic cohomology of rigid analytic spaces over de Rham period ring
Haoyang Guo
Inspired by Bhatt-Scholze, we introduce prismatic cohomology for rigid analytic spaces with l.c.i singularities, with coefficients over Fontaine's de Rham period ring.
Boundedness of semistable sheaves
Haoyang Guo, Sanal Shivaprasad, Dylan Spence +1
In this expository article, we follow the work of Langer to prove the boundedness of the moduli space of semistable torsion-free sheaves over a projective variety, in any character…
Crystalline cohomology of rigid analytic spaces
Haoyang Guo
In this article, we introduce infinitesimal cohomology for rigid analytic spaces that are not necessarily smooth, with coefficients in a p-adic field or Fontaine's de Rham period r…
Higher localised -genera for proper actions and applications
Hao Guo, Varghese Mathai
For a finitely generated discrete group acting properly on a spin manifold , we formulate new topological obstructions to -invariant metrics of positive scalar curvature…