English

$TMF_0(3)$ Characteristic classes for String bundles

Algebraic Topology 2015-10-21 v4

Abstract

We compute the completed TMF0(3)TMF_0(3) cohomology of the 7-connective cover BStringBString of BOBO. We use cubical structures on line bundles over elliptic curves to construct an explicit class which together with the Pontryagin classes freely generates the cohomology ring.

Keywords

Cite

@article{arxiv.1403.7301,
  title  = {$TMF_0(3)$ Characteristic classes for String bundles},
  author = {Gerd Laures and Martin Olbermann},
  journal= {arXiv preprint arXiv:1403.7301},
  year   = {2015}
}

Comments

this version will be published in Math. Zeitschrift

R2 v1 2026-06-22T03:36:58.465Z