Lectures on the triangulation conjecture
arXiv:1607.08163
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.
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