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 language | English |
|---|---|
| Journal | Mathematische Annalen |
| Volume | 339 |
| Issue number | 4 |
| Pages (from-to) | 733-755 |
| ISSN | 0025-5831 |
| Publication status | Published - 2007 |