Operations on stable moduli spaces

Author:

Galatius Søren,Randal-Williams Oscar

Abstract

AbstractWe 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.

Funder

European Research Council

EPSRC

Danish National Research Foundation

EliteForsk Prize

Philip Leverhulme Trust

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Mathematics (miscellaneous),Theoretical Computer Science

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5. Galatius, S., Randal-Williams, O.: Stable moduli spaces of high-dimensional manifolds. Acta Math. 212(2), 257–377 (2014)

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