The topology of certain 3-Sasakian 7-manifolds

Richard A. Hepworth

The topology of certain 3-Sasakian 7-manifolds

Richard A. Hepworth

Institut for Matematiske Fag

3 Citationer (Scopus)

97 Downloads (Pure)

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.

Originalsprog	Engelsk
Tidsskrift	Mathematische Annalen
Vol/bind	339
Udgave nummer	4
Sider (fra-til)	733-755
ISSN	0025-5831
Status	Udgivet - 2007

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Citationsformater

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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)",

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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

SN - 0025-5831

VL - 339

SP - 733

EP - 755

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 4

ER -

The topology of certain 3-Sasakian 7-manifolds

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