The topology of certain 3-Sasakian 7-Manifolds

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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.
Original languageEnglish
Pages (from-to)733–755
Number of pages23
JournalMathematische Annalen
Volume339
Issue number4
DOIs
Publication statusPublished - 2007

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