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On the formality problem for manifolds with special holonomy. / Taimanov, Iskander A.

In: Filomat, Vol. 37, No. 25, 2023, p. 8709-8718.

Research output: Contribution to journal › Article › peer-review

Harvard

Taimanov, IA 2023, 'On the formality problem for manifolds with special holonomy', Filomat, vol. 37, no. 25, pp. 8709-8718. https://doi.org/10.2298/FIL2325709T

APA

Taimanov, I. A. (2023). On the formality problem for manifolds with special holonomy. Filomat, 37(25), 8709-8718. https://doi.org/10.2298/FIL2325709T

Vancouver

Taimanov IA. On the formality problem for manifolds with special holonomy. Filomat. 2023;37(25):8709-8718. doi: 10.2298/FIL2325709T

Author

Taimanov, Iskander A. / On the formality problem for manifolds with special holonomy. In: Filomat. 2023 ; Vol. 37, No. 25. pp. 8709-8718.

BibTeX

@article{a4bd83820667426e9c40d07548e5814b,
title = "On the formality problem for manifolds with special holonomy",
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{\textquoteright}s examples of G2-manifolds. In §3 we expose the approach to establishing the formality by using the intersection Massey products.",
keywords = "Formality, Holonomy, Massey product, Riemannian manifold",
author = "Taimanov, {Iskander A.}",
note = "2020 Mathematics Subject Classification. Primary 55P62; Secondary 53C26, 55S30. Keywords. Riemannian manifold; Holonomy; Formality; Massey product. Received: 28 February 2023; Accepted: 26 April 2023 Communicated by Zoran Raki{\'c} and Mi{\'c}a Stankovi{\'c} Research supported by RSCF (grant 19-11-00044-P). Email address: taimanov@math.nsc.ru (Iskander A. Taimanov). Публикация для корректировки.",
year = "2023",
doi = "10.2298/FIL2325709T",
language = "English",
volume = "37",
pages = "8709--8718",
journal = "Filomat",
issn = "2406-0933",
number = "25",

}

RIS

TY - JOUR

T1 - On the formality problem for manifolds with special holonomy

AU - Taimanov, Iskander A.

N1 - 2020 Mathematics Subject Classification. Primary 55P62; Secondary 53C26, 55S30. Keywords. Riemannian manifold; Holonomy; Formality; Massey product. Received: 28 February 2023; Accepted: 26 April 2023 Communicated by Zoran Rakić and Mića Stanković Research supported by RSCF (grant 19-11-00044-P). Email address: taimanov@math.nsc.ru (Iskander A. Taimanov). Публикация для корректировки.

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - Formality

KW - Holonomy

KW - Massey product

KW - Riemannian manifold

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85164909878&origin=inward&txGid=e088c7a950d55464aa3fc8468e3bfeab

UR - https://www.mendeley.com/catalogue/5a187af4-80dc-3bdc-8c51-680bdfac79fc/

U2 - 10.2298/FIL2325709T

DO - 10.2298/FIL2325709T

M3 - Article

VL - 37

SP - 8709

EP - 8718

JO - Filomat

JF - Filomat

SN - 2406-0933

IS - 25

ER -

ID: 58718942