The Real Johnson-Wilson Cohomology of $\mathbb{C}P^\infty$

Vitaly Lorman

The Real Johnson-Wilson Cohomology of $\mathbb{C}P^\infty$

Algebraic Topology 2016-06-28 v3

Authors: Vitaly Lorman

Abstract

We completely compute the Real Johnson-Wilson cohomology of $\mathbb{C}P^\infty$ . Applying techniques from equivariant stable homotopy theory to the Bockstein spectral sequence, we produce permanent cycles and solve extension problems to give an explicit description of the ring $ER(n)^*(\mathbb{C}P^\infty)$

Keywords

Johnson-Wilson cohomology Real cohomology equivariant stable homotopy theory Bockstein spectral sequence permanent cycles extension problems complex projective space

Cite

@article{arxiv.1509.02101,
  title  = {The Real Johnson-Wilson Cohomology of $\mathbb{C}P^\infty$},
  author = {Vitaly Lorman},
  journal= {arXiv preprint arXiv:1509.02101},
  year   = {2016}
}

Comments

22 pages, comments welcome. Version 3: minor changes to introduction

Related papers

View all related →