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Operations on stable moduli spaces.

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 p-adic valuation of the Euler characteristics agree, for all primes p not invertible in the coefficients for cohomology.

SUBMITTER: Galatius S 

PROVIDER: S-EPMC7194281 | biostudies-literature | 2020

REPOSITORIES: biostudies-literature

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Operations on stable moduli spaces.

Galatius Søren S   Randal-Williams Oscar O  

Research in the mathematical sciences 20200417 2

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 <i>p</i>-adic valuation of the Euler characteristics agree, for all primes <i>p</i> not invertible in the coefficients for cohomology. ...[more]