English

Operations on stable moduli spaces

Algebraic Topology 2020-03-24 v2 Geometric Topology

Abstract

We construct certain operations on stable moduli spaces and use them to compare cohomology of moduli spaces of closed manifolds with tangential structure. We obtain isomorphisms in a stable range provided the pp-adic valuation of the Euler characteristics agree, for all primes pp not invertible in the coefficients for cohomology.

Keywords

Cite

@article{arxiv.1912.10239,
  title  = {Operations on stable moduli spaces},
  author = {Soren Galatius and Oscar Randal-Williams},
  journal= {arXiv preprint arXiv:1912.10239},
  year   = {2020}
}

Comments

12 pages. Based on excised section of arXiv:1601.00232v1. Final accepted version

R2 v1 2026-06-23T12:53:20.618Z