On the formality problem for manifolds with special holonomy-Reference-Cited by-同舟云学术

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On the formality problem for manifolds with special holonomy

Published:2023 Issue:25 Volume:37 Page:8709-8718
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Taimanov Iskander¹

Affiliation:

1. Novosibirsk State University, Novosibirsk, Russia + Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract

In ??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 G2-manifolds. In ?3 we expose the approach to establishing the formality by using the intersection Massey products.

Publisher

National Library of Serbia

Reference38 articles.

1. M. Amann, V. Kapovitch, On fibrations with formal elliptic fibers, Adv. Math. 231 (2012), 2048-2068.

2. M. Amann, I.A. Taimanov, On the formality of nearlyKähler manifolds and of Joyce’s examples inG2-holonomy, arXiv:2012.10915, 2020.

3. I.K. Babenko, I.A. Taimanov, On the existence of nonformal simply connected symplectic manifolds. Russian Math. Surveys 53:5 (1998), 1082-1083.

4. I.K. Babenko, I.A. Taimanov, Massey products in symplectic manifolds, Sb. Math. 191:8 (2000), 1107-1146.

5. R. Bott, L.W. Tu, Differential Forms in Algebraic Topology, Springer-Verlag, New York-Berlin, 1982.

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