Lectures on the triangulation conjecture
Geometric Topology
2024-02-21 v3
Abstract
We outline the proof that non-triangulable manifolds exist in any dimension greater than four. The arguments involve homology cobordism invariants coming from the Pin(2) symmetry of the Seiberg-Witten equations. We also explore a related construction, of an involutive version of Heegaard Floer homology.
Cite
@article{arxiv.1607.08163,
title = {Lectures on the triangulation conjecture},
author = {Ciprian Manolescu},
journal= {arXiv preprint arXiv:1607.08163},
year = {2024}
}
Comments
33 pages. Notes prepared with the help of Eylem Zeliha Yildiz; in Proceedings of the 22nd Gokova Geometry/Topology Conference. The arxiv version has two corrected statements on p.4