Operations on stable moduli spaces
arXiv:1912.10239
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 -adic valuation of the Euler characteristics agree, for all primes not invertible in the coefficients for cohomology.
12 pages. Based on excised section of arXiv:1601.00232v1. Final accepted version