English

A note on invariants of foliated 3-sphere bundles

Algebraic Topology 2024-09-11 v1 Geometric Topology

Abstract

In this note we prove that H(BSO(4);Q)H^*(\text{BSO}(4);\mathbb{Q}) injects into the group cohomology of Diff+(S3)\text{Diff}^+(S^{3}) with rational coefficients. The proof is based on an idea of Nariman who proved that the monomials in the Euler and Pontrjagin classes are nontrivial in H(BDiff+δ(S2n1);Q)H^*(\text{BDiff}_+^{\delta}(S^{2n-1});\mathbb{Q}).

Keywords

Cite

@article{arxiv.2409.06408,
  title  = {A note on invariants of foliated 3-sphere bundles},
  author = {Nils Prigge},
  journal= {arXiv preprint arXiv:2409.06408},
  year   = {2024}
}