Asymptotics of the Determinant of Discrete Laplacians on Triangulated and Quadrangulated Surfaces [0.03%]
三角剖分和四边形剖分曲面上离散拉普拉斯算子行列式的渐近性态
Konstantin Izyurov,Mikhail Khristoforov
Konstantin Izyurov
Consider a surface Ω with a boundary obtained by gluing together a finite number of equilateral triangles, or squares, along their boundaries, equipped with a vector bundle with a flat unitary connection. Let Ω δ be a discre...
David Erkinger,Johanna Knapp
David Erkinger
The sphere partition function of Calabi-Yau gauged linear sigma models (GLSMs) has been shown to compute the exact Kähler potential of the Kähler moduli space of a Calabi-Yau. We propose a universal expression for the sphere partition fun...
Convergence Rate to the Tracy-Widom Laws for the Largest Eigenvalue of Wigner Matrices [0.03%]
Wigner矩阵最大本征值收敛到Tracy-Widom律的速度上限
Kevin Schnelli,Yuanyuan Xu
Kevin Schnelli
We show that the fluctuations of the largest eigenvalue of a real symmetric or complex Hermitian Wigner matrix of size N converge to the Tracy-Widom laws at a rate O ( N - 1 / 3 + ω ) , as N tends to infinity. For Wigner matrices thi...
Nima Moshayedi
Nima Moshayedi
A globalized version of a trace formula for the Poisson Sigma Model on the disk is presented by using its formal global picture in the setting of the Batalin-Vilkovisky formalism. This global construction includes the concept of zero modes....
Michael Eichmair,Thomas Koerber
Michael Eichmair
We refine the Lyapunov-Schmidt analysis from our recent paper (Eichmair and Koerber in Large area-constrained Willmore surfaces in asymptotically Schwarzschild 3-manifolds. arXiv preprint arXiv:2101.12665, 2021) to study the geometric cente...
Roberto Longo
Roberto Longo
We study the modular Hamiltonian associated with a Gaussian state on the Weyl algebra. We obtain necessary/sufficient criteria for the local equivalence of Gaussian states, independently of the classical results by Araki and Yamagami, Van D...
Ilya Goldsheid,Sasha Sodin
Ilya Goldsheid
It is known that the eigenfunctions of a random Schrödinger operator on a strip decay exponentially, and that the rate of decay is not slower than prescribed by the slowest Lyapunov exponent. A variery of heuristic arguments suggest that n...
Michael Magee
Michael Magee
In this paper, we study random representations of fundamental groups of surfaces into special unitary groups. The random model we use is based on a symplectic form on moduli space due to Atiyah, Bott and Goldman. Let Σ g denote a topo...
Alex Kite,Ed Segal
Alex Kite
The derived categories of toric varieties admit semi-orthogonal decompositions coming from wall-crossing in GIT. We prove that these decompositions satisfy a Jordan-Hölder property: the subcategories that appear, and their multiplicities, ...
Xin Li
Xin Li
Using the Baum-Connes conjecture with coefficients, we develop a K-theory formula for reduced C*-algebras of strongly 0-E-unitary inverse semigroups, or equivalently, for a class of reduced partial crossed products. This generalizes and giv...