The topology of certain 3-Sasakian 7-manifolds

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Standard

The topology of certain 3-Sasakian 7-manifolds. / A. Hepworth, Richard.

I: Mathematische Annalen, Bind 339, Nr. 4, 2007, s. 733-755.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

A. Hepworth, R 2007, 'The topology of certain 3-Sasakian 7-manifolds', Mathematische Annalen, bind 339, nr. 4, s. 733-755.

APA

A. Hepworth, R. (2007). The topology of certain 3-Sasakian 7-manifolds. Mathematische Annalen, 339(4), 733-755.

Vancouver

A. Hepworth R. The topology of certain 3-Sasakian 7-manifolds. Mathematische Annalen. 2007;339(4):733-755.

Author

A. Hepworth, Richard. / The topology of certain 3-Sasakian 7-manifolds. I: Mathematische Annalen. 2007 ; Bind 339, Nr. 4. s. 733-755.

Bibtex

@article{1947ed80af4611df825b000ea68e967b,
title = "The topology of certain 3-Sasakian 7-manifolds",
abstract = "We calculate the integer cohomology ring and stable tangent bundle of a family of compact, 3-Sasakian 7-manifolds constructed by Boyer, Galicki, Mann, and Rees. Previously only the rational cohomology ring was known. The most important part of the cohomology ring is a torsion group that we describe explicitly and whose order we compute. There is a surprising connection with the combinatorics of trees.",
author = "{A. Hepworth}, Richard",
note = "Keywords: math.AT; math.DG; 53C25 (Primary), 57R19 (Secondary)",
year = "2007",
language = "English",
volume = "339",
pages = "733--755",
journal = "Mathematische Annalen",
issn = "0025-5831",
publisher = "Springer",
number = "4",

}

RIS

TY - JOUR

T1 - The topology of certain 3-Sasakian 7-manifolds

AU - A. Hepworth, Richard

N1 - Keywords: math.AT; math.DG; 53C25 (Primary), 57R19 (Secondary)

PY - 2007

Y1 - 2007

N2 - We calculate the integer cohomology ring and stable tangent bundle of a family of compact, 3-Sasakian 7-manifolds constructed by Boyer, Galicki, Mann, and Rees. Previously only the rational cohomology ring was known. The most important part of the cohomology ring is a torsion group that we describe explicitly and whose order we compute. There is a surprising connection with the combinatorics of trees.

AB - We calculate the integer cohomology ring and stable tangent bundle of a family of compact, 3-Sasakian 7-manifolds constructed by Boyer, Galicki, Mann, and Rees. Previously only the rational cohomology ring was known. The most important part of the cohomology ring is a torsion group that we describe explicitly and whose order we compute. There is a surprising connection with the combinatorics of trees.

M3 - Journal article

VL - 339

SP - 733

EP - 755

JO - Mathematische Annalen

JF - Mathematische Annalen

SN - 0025-5831

IS - 4

ER -

ID: 21543271