Hao Guo

Writing

Book chapters

Quantitative K-theory, positive scalar curvature, and band width (with Z. Xie and G. Yu)
In Perspectives on Scalar Curvature, Eds. M. Gromov, H. B. Lawson
arXiv | published

Journal articles

A geometric Elliott invariant and noncommutative rigidity of mapping tori (with V. Proietti and H. Wang)
arXiv | under review
Covering complexity, scalar curvature, and quantitative K-theory (with G. Yu)
Pure and Applied Mathematics Quarterly
arXiv | published
An equivariant Poincaré duality for proper cocompact actions by matrix groups (with V. Mathai)
Journal of Noncommutive Geometry
arXiv | published
Higher localised A-hat-genera for proper actions and applications (with V. Mathai)
Journal of Functional Analysis
arXiv | published
Positive scalar curvature and an equivariant Callias-type index theorem for proper actions (with P. Hochs and V. Mathai)
Annals of K-Theory
arXiv | published
Functoriality for higher rho invariants of elliptic operators (with Z. Xie and G. Yu)
Journal of Functional Analysis
arXiv | published
Coarse geometry and Callias quantisation (with P. Hochs and V. Mathai)
Transactions of the American Mathematical Society
arXiv | published
A Lichnerowicz vanishing theorem for the maximal Roe algebra (with Z. Xie and G. Yu)
Mathematische Annalen
arXiv | published
Equivariant Callias index theory via coarse geometry (with P. Hochs and V. Mathai)
Annales de l’Institut Fourier
arXiv | published
Index of equivariant Callias-type operators and invariant metrics of positive scalar curvature
Journal of Geometric Analysis
arXiv | published
Positive scalar curvature and Poincaré duality for proper actions (with V. Mathai and H. Wang)
Journal of Noncommutative Geometry
arXiv | published
Positive scalar curvature and Callias-type index theorems for proper actions
Bulletin of the Australian Mathematical Society
published