The topology of certain 3-Sasakian 7-manifolds
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Submitted manuscript, 254 KB, PDF document
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.
Original language | English |
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Journal | Mathematische Annalen |
Volume | 339 |
Issue number | 4 |
Pages (from-to) | 733-755 |
ISSN | 0025-5831 |
Publication status | Published - 2007 |
Bibliographical note
Keywords: math.AT; math.DG; 53C25 (Primary), 57R19 (Secondary)
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ID: 21543271