Asymptotic counting of minimal surfaces in hyperbolic manifolds [according to Calegari, Marques and Neves]

TL;DR

This paper discusses the asymptotic behavior of counting minimal surfaces within hyperbolic manifolds, based on the work of Calegari, Marques, and Neves, and introduces a proof idea involving laminar measures.

Contribution

It provides an overview of the asymptotic counting of minimal surfaces and proposes a proof approach using laminar measures, advancing understanding in hyperbolic geometry.

Findings

Asymptotic growth rate of minimal surfaces in hyperbolic manifolds

Introduction of laminar measures as a proof technique

Connection between minimal surface counting and geometric measure theory

Abstract

A report on an article of Calegari, Marques and Neves about counting minimal surfaces. An idea of a proof is included using the concept of a laminar measure.