The topology of certain 3-Sasakian 7-manifolds
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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 |
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Tidsskrift | Mathematische Annalen |
Vol/bind | 339 |
Udgave nummer | 4 |
Sider (fra-til) | 733-755 |
ISSN | 0025-5831 |
Status | Udgivet - 2007 |
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