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Twisting Hermitian and hypercomplex geometries

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Twisting Hermitian and hypercomplex geometries. / Swann, Andrew.

I: Duke Mathematical Journal, Bind 155, Nr. 2, 01.11.2010, s. 403-431.

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avisTidsskriftartikelForskningpeer review

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Swann, A 2010, 'Twisting Hermitian and hypercomplex geometries', Duke Mathematical Journal, bind 155, nr. 2, s. 403-431. https://doi.org/10.1215/00127094-2010-059

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Swann, Andrew. / Twisting Hermitian and hypercomplex geometries. I: Duke Mathematical Journal. 2010 ; Bind 155, Nr. 2. s. 403-431.

Bibtex

@article{a05a4923c3744ea5ad45cfdc0c34076a,
title = "Twisting Hermitian and hypercomplex geometries",
abstract = "A twist construction for manifolds with torus action is described generalizing certain T-duality examples and constructions in hypercomplex geometry. It is applied to complex, SKT, hypercomplex, and HKT manifolds to construct compact simply connected examples. In particular, we find hypercomplex manifolds that admit no compatible HKT metric, and HKT manifolds whose Obata connection has holonomy contained in SL(n,H).",
author = "Andrew Swann",
year = "2010",
month = nov,
day = "1",
doi = "10.1215/00127094-2010-059",
language = "English",
volume = "155",
pages = "403--431",
journal = "Duke Mathematical Journal",
issn = "0012-7094",
publisher = "Duke University Press",
number = "2",

}

RIS

TY - JOUR

T1 - Twisting Hermitian and hypercomplex geometries

AU - Swann, Andrew

PY - 2010/11/1

Y1 - 2010/11/1

N2 - A twist construction for manifolds with torus action is described generalizing certain T-duality examples and constructions in hypercomplex geometry. It is applied to complex, SKT, hypercomplex, and HKT manifolds to construct compact simply connected examples. In particular, we find hypercomplex manifolds that admit no compatible HKT metric, and HKT manifolds whose Obata connection has holonomy contained in SL(n,H).

AB - A twist construction for manifolds with torus action is described generalizing certain T-duality examples and constructions in hypercomplex geometry. It is applied to complex, SKT, hypercomplex, and HKT manifolds to construct compact simply connected examples. In particular, we find hypercomplex manifolds that admit no compatible HKT metric, and HKT manifolds whose Obata connection has holonomy contained in SL(n,H).

UR - http://www.scopus.com/inward/record.url?scp=78049315336&partnerID=8YFLogxK

U2 - 10.1215/00127094-2010-059

DO - 10.1215/00127094-2010-059

M3 - Journal article

AN - SCOPUS:78049315336

VL - 155

SP - 403

EP - 431

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

SN - 0012-7094

IS - 2

ER -