English

BP-cohomology of projective Stiefel manifolds

Algebraic Topology 2021-09-13 v1

Abstract

In this paper, we compute the BP-cohomology of complex projective Stiefel manifolds. The method involves the homotopy fixed point spectral sequence, and works for complex oriented cohomology theories. We also use these calculations and BP-operations to prove new results about equivariant maps between Stiefel manifolds.

Keywords

Cite

@article{arxiv.2109.04885,
  title  = {BP-cohomology of projective Stiefel manifolds},
  author = {Samik Basu and Debanil Dasgupta},
  journal= {arXiv preprint arXiv:2109.04885},
  year   = {2021}
}