Lectures on the triangulation conjecture

Fuente: arXiv
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Autore principale: Manolescu, Ciprian
Natura: Preprint
Pubblicazione: 2016
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author Manolescu, Ciprian
author_facet Manolescu, Ciprian
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1607_08163
institution arXiv
publishDate 2016
record_format arxiv
spellingShingle Lectures on the triangulation conjecture
Manolescu, Ciprian
Geometric Topology
57R58 (Primary), 57Q15, 57M27 (Secondary)
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.
title Lectures on the triangulation conjecture
topic Geometric Topology
57R58 (Primary), 57Q15, 57M27 (Secondary)
url https://arxiv.org/abs/1607.08163