# On Smale's Mean Value Conjecture

## TL;DR

This paper proves Smale's mean value conjecture using advanced techniques involving quasiconformal deformations and holomorphic motions, contributing to the understanding of polynomial mappings and their critical points.

## Contribution

The paper provides a proof of Smale's mean value conjecture, a longstanding open problem, employing novel methods from quasiconformal and holomorphic deformation theory.

## Key findings

- Proof of Smale's mean value conjecture
- Application of quasiconformal deformations in complex analysis
- Advancement in understanding polynomial critical points

## Abstract

In this paper, we prove Smale's mean value conjecture by making use of quasiconformal deformations and holomorphic motions.

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Source: https://tomesphere.com/paper/1703.06627