Heegaard splittings of 3--manifolds (Haifa 2005): Problems

TL;DR

This paper compiles and discusses open problems related to Heegaard splittings of 3-manifolds, contributed by various researchers, aiming to guide future research in the field.

Contribution

It presents a curated list of unresolved problems on Heegaard splittings from a workshop, highlighting key challenges in 3-manifold topology.

Findings

List of open problems on Heegaard splittings

Problems contributed by leading researchers

Guidance for future research directions

Abstract

These are problems on Heegaard splittings, that were raised at the Workshop, listed according to their contributors: David Bachman, Mario Eudave-Munoz, John Hempel, Tao Li, Yair Minsky, Yoav Moriah and Richard Weidmann. On pages 285-298 of this monograph (arxiv:0904.0017) Hyam Rubinstein gives a personal collection of problems on 3-manifolds.