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19962026
most citedQuantum Field Theory in the Large N Limit: a review

513 citations

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Showing 2025 · math.DGShow all

7 papers · 2 filters

math.DG2025

The G-signature Theorem on Witt spaces

Markus Banagl, Eric Leichtnam, Paolo Piazza

Let G be a compact Lie group and let X be an oriented Witt G-pseudomanifold. Using intersection cohomology it is possible to define Sign(G,X) in R(G), the G-signature of X. Let g b…

math.DG2025

Isoperimetric inequalities involving Steklov eigenvalues on surfaces

Romain Petrides

We give results on optimal constants of isoperimetric inequalities involving Steklov eigenvalues on surfaces with boundary. We both consider this question on Riemannian surfaces wi…

math.DG2025

Existence of metrics maximizing the first Laplace eigenvalue on closed surfaces

Mikhail Karpukhin, Romain Petrides, Daniel Stern

Building on seminal work of Nadirashvili and previous work of the authors, we prove the existence of metrics maximizing the area-normalized first eigenvalue of the Laplacian on eve…

math.DG2025

Numerical invariants for weighted cscK metrics

Thibaut Delcroix, Simon Jubert

In K-stability, the delta invariant of a Fano variety encodes the existence of Kähler-Einstein metrics. We introduce a weighted analytic delta invariant, and a reduced version, tha…

math.DG2025

On Kähler-Einstein Currents

Yifan Chen, Shih-Kai Chiu, Max Hallgren +3

We show that a general class of singular Kähler metrics with Ricci curvature bounded below define Kähler currents. In particular the result applies to singular Kähler-Einstein metr…

math.DG2025

Huber Theorem revisited in dimensions 2 and 4

Paul Laurain, Dorian Martino

We study the second Huber theorem in dimensions 2 and 4. In dimension 2, we prove a new version assuming that the Gauss curvature lies in a negative Sobolev space using Coulomb fra…