98 citations · 170 across the 26 of their papers we have counts for
30 papers
A geometric flow associated to -curvature
Jiaqi Chen, Xudong Kang, Wei Yuan
Branson's -curvature is a natural fourth-order counterpart of scalar curvature in conformal geometry. In analogy with the classical recovery of the Ricci tensor from the lineari…
The 2-Norm Distance on the Reflexive Lattice Generated by a Double Triangle Lattice of Projections
Wei Yuan
Using operator-valued subordination, we derive a formula for the -norm distance on reflexive lattices generated by double triangles of projections under freeness assumptions on…
Non-Existence of Abelian KS-Algebras in for
Wei Yuan
We prove that contains no abelian Kadison--Singer algebra for any .
Local and global conformal invariants of submanifolds
Jeffrey S. Case, Ayush Khaitan, Yueh-Ju Lin +2
We develop methods for constructing and computing conformal invariants of submanifolds, with a particular emphasis on conformal submanifold scalars and conformally invariant integr…
Computing renormalized curvature integrals on Poincaré-Einstein manifolds
Jeffrey S. Case, Ayush Khaitan, Yueh-Ju Lin +2
We describe a general procedure for computing renormalized curvature integrals on Poincaré-Einstein manifolds. In particular, we explain the connection between the Gauss-Bonnet-typ…
Separable algebras in multitensor C-categories are unitarizable
Luca Giorgetti, Wei Yuan, XuRui Zhao
Recently, S. Carpi et al. (Comm. Math. Phys., 402:169-212, 2023) proved that every connected (i.e. haploid) Frobenius algebra in a tensor C-category is unitarizable (i.e. isomo…
Global stability of the open Milne spacetime
Jinhua Wang, Wei Yuan
The open Milne cosmological spacetime has a 3-dimensional Cauchy surface isometric to the (non-compact) hyperbolic space. We prove the globally nonlinear stability of the open Miln…
Cuntz-Nica-Pimsner algebras associated to product systems over quasi-lattice ordered groupoids
Feifei Miao, Liguang Wang, Wei Yuan
We characterize Cuntz-Nica-Pimsner algebras for compactly aligned product systems over quasi-lattice ordered groupoids. We show that the full cross sectional -algebras of Fell…
Curved versions of the Ovsienko-Redou operators
Jeffrey S. Case, Yueh-Ju Lin, Wei Yuan
We give a complete classification of tangential bidifferential operators of total order at most which are expressed purely in terms of the Laplacian on the ambient space of an…
Co-universal -algebras for product systems over finite aligned subcategories of groupoids
Feifei Miao, Liguang Wang, Wei Yuan
The product systems over left cancellative small categories are introduced and studied in this paper. We also introduce the notion of compactly aligned product systems over finite…
On cleanness of von Neumann algebras
Lu Cui, Linzhe Huang, Wenming Wu +2
A unital ring is called clean (resp. strongly clean) if every element can be written as the sum of an invertible element and an idempotent (resp. an invertible element and an idemp…
Enriched monoidal categories I: centers
Liang Kong, Wei Yuan, Zhi-Hao Zhang +1
This work is the first one in a series, in which we develop a mathematical theory of enriched (braided) monoidal categories and their representations. In this work, we introduce th…
Deformations of Q-curvature II
Yueh-Ju Lin, Wei Yuan
This is the second article of a sequence of research on deformations of Q-curvature. In the previous one, we studied local stability and rigidity phenomena of Q-curvature. In this…
Realization of rigid C*-bicategories as bimodules over type II von Neumann algebras
Luca Giorgetti, Wei Yuan
We prove that every rigid C*-bicategory with finite-dimensional centers (finitely decomposable horizontal units) can be realized as Connes' bimodules over finite direct sums of II$…
Some constructions of formally self-adjoint conformally covariant polydifferential operators
Jeffrey S. Case, Yueh-Ju Lin, Wei Yuan
We introduce the notion of formally self-adjoint conformally covariant polydifferential operators and give some constructions of families of such operators. In one direction, we sh…
Pointed Drinfeld center functor
Liang Kong, Wei Yuan, Hao Zheng
In this work, using the functoriality of Drinfeld center of fusion categories, we generalize an earlier result on the functoriality of full center of simple separable algebras in a…
Ricci-flat graphs with girth four
Weihua He, Jun Luo, Chao Yang +1
Lin-Lu-Yau introduced an interesting notion of Ricci curvature for graphs and obtained a complete characterization for all Ricci-flat graphs with girth at least five [1]. In this p…
Brown-York mass and positive scalar curvature II - Besse's conjecture and related problems
Yi Fang, Wei Yuan
The Besse's conjecture was posted on the well-known book Einstein manifolds by Arthur L. Besse, which describes the critical point of Hilbert-Einstein functional with constraint of…
Brown-York mass and positive scalar curvature I - First eigenvalue problem and its applications
Wei Yuan
In this article, we investigate the connection between scalar curvature and first eigenfunctions via positive mass theorem for Brown-York mass. For compact manifolds with nice boun…
Wigner-Type Theorem on transition probability preserving maps in semifinite factors
Wenhua Qian, Liguang Wang, Wenming Wu +1
The Wigner's theorem, which is one of the cornerstones of the mathematical formulation of quantum mechanics, asserts that every symmetry of quantum system is unitary or anti-unitar…
Realization of rigid C-tensor categories via Tomita bimodules
Luca Giorgetti, Wei Yuan
Starting from a (small) rigid C-tensor category with simple unit, we construct von Neumann algebras associated to each of its objects. These algebras are factors…
Conformally variational Riemannian invariants
Jeffrey S. Case, Yueh-Ju Lin, Wei Yuan
Conformally variational Riemannian invariants (CVIs), such as the scalar curvature, are homogeneous scalar invariants which arise as the gradient of a Riemannian functional. We est…
A sphere theorem for Bach-flat manifolds with positive constant scalar curvature
Yi Fang, Wei Yuan
We show a closed Bach-flat Riemannian manifold with a fixed positive constant scalar curvature has to be locally spherical if its Weyl and traceless Ricci tensors are small in the…
Volume comparison with respect to scalar curvature
Wei Yuan
In this article, we investigate the volume comparison with respect to scalar curvature. In particular, we show volume comparison holds for small geodesic balls of metrics near a V-…