English

The connective Morava K-theory of the second mod p Eilenberg-MacLane space

Algebraic Topology 2025-08-08 v4

Abstract

We develop tools for computing the connective n-th Morava K-theory of spaces. Starting with a Universal Coefficient Theorem that computes the cohomology version from the homology version, we show that every step in the process of computing one is mirrored in the other and that this can be used to make computations. As our example, we compute the connective n-th Morava K-theory of the second mod p Eilenberg-MacLane space.

Keywords

Cite

@article{arxiv.2206.14035,
  title  = {The connective Morava K-theory of the second mod p Eilenberg-MacLane space},
  author = {Donald M. Davis and Douglas C. Ravenel and W. Stephen Wilson},
  journal= {arXiv preprint arXiv:2206.14035},
  year   = {2025}
}

Comments

major revision