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Operations on stable moduli spaces

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...

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Detalles Bibliográficos
Autores principales: Galatius, Søren, Randal-Williams, Oscar
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7194281/
https://www.ncbi.nlm.nih.gov/pubmed/32382705
http://dx.doi.org/10.1007/s40687-020-00207-6
Descripción
Sumario: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.