# Inequivalent complexity criteria for free boundary minimal surfaces

## TL;DR

This paper explores the relationships between various complexity measures like area, topology, and Morse index in free boundary minimal surfaces, offering new insights beyond existing effective estimates.

## Contribution

It provides a comprehensive analysis of how different complexity criteria compare in the global theory of free boundary minimal surfaces, extending beyond known effective bounds.

## Key findings

- Comparison of area, topology, and Morse index in free boundary minimal surfaces
- New results on complexity criteria relationships
- Extended understanding beyond effective estimates

## Abstract

We obtain a series of results in the global theory of free boundary minimal surfaces, which in particular provide a rather complete picture for the way different complexity criteria, such as area, topology and Morse index compare, beyond the regime where effective estimates are at disposal.

---
Source: https://tomesphere.com/paper/1908.04709