Rational homotopy and simply-connected 8-manifolds

Autor:	Nagy, Csaba, Nordström, Johannes
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Topology Mathematics - Geometric Topology 55P62 57N65 57R19
Druh dokumentu:	Working Paper
Popis:	We introduce a rational homotopy invariant P of a topological space, which is a quintic tensor on the cohomology. For n > 1, formality of a closed (n-1)-connected manifold of dimension up to 5n-2 is equivalent to vanishing of P and the Bianchi-Massey tensor introduced by Crowley and the second author arXiv:1505.04184. We show also that elements of the group of closed simply-connected spin 8-manifolds with the cohomology of an r-fold connected sum of S^2 x S^6 are determined up to torsion by the value of P. Comment: 17 pages. v2: minor corrections
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2105.13660 Zobrazit plný text záznamu View this record from Arxiv