# The beginnings of symplectic topology in Bochum in the early eighties

## TL;DR

This paper traces the early development of symplectic topology in Bochum, highlighting the original proof of the Arnold conjecture on fixed points for Hamiltonian maps on tori and its extension to general symplectic manifolds, leading to Floer homology.

## Contribution

It provides a historical overview and an original proof of the Arnold conjecture for tori, illustrating the foundational steps toward Floer homology in symplectic topology.

## Key findings

- Original proof of the Arnold conjecture on tori
- Sketch of extension to general symplectic manifolds
- Introduction to Floer homology

## Abstract

I outline the history and the original proof of the Arnold conjecture on fixed points of Hamiltonian maps for the special case of the torus, leading to a sketch of the proof for general symplectic manifolds and to Floer homology. This is the written version of my talk at the Geometric Dynamics Days 2017 (February 3-4) at the RUB in Bochum.