On the formality problem for manifolds with special holonomy

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Abstract

In sections 1 and 2 we follow our online talk at the 21st Geometrical Seminar (Beograd, Serbia) on June 30, 2022 by giving a survey of the formality problem for manifold with special holonomy and exposing recent results by M. Amann and the author on the formality of Joyce's examples of G_2-manifolds. In section 3 we expose the approach to establishing the formality by using the intersection Massey products.

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Publication date Created: 07 August 2023

Article

DOI: 10.2298/FIL2325709T

ArXiV ID: 2308.03736

SO-VID: 33d191f3-9654-48ad-872a-32dfaefd9d4c

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http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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Journal reference Filomat 37:25 (2023), 8709-8718

Comments 16 pages

Categories math.DG math.AT

ScienceOpen disciplines: Geometry & Topology

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ScienceOpen disciplines: Geometry & Topology

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