Operations on stable moduli spaces

Søren Galatius; Oscar Randal-Williams

doi:10.1007/s40687-020-00207-6

Operations on stable moduli spaces

Søren Galatius, Oscar Randal-Williams

Hjerteafdelingen BFH

1 Citationer (Scopus)

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.

Originalsprog	Engelsk
Tidsskrift	Mathematical Biosciences
Vol/bind	7
Udgave nummer	2
Sider (fra-til)	9
ISSN	0025-5564
DOI	https://doi.org/10.1007/s40687-020-00207-6
Status	Udgivet - 17 apr. 2020

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title = "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.",

keywords = "Moduli spaces, Diffeomorphism groups, Homological stability, Characteristic classes",

author = "S{\o}ren Galatius and Oscar Randal-Williams",

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doi = "10.1007/s40687-020-00207-6",

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TY - JOUR

T1 - Operations on stable moduli spaces

AU - Galatius, Søren

AU - Randal-Williams, Oscar

N1 - © The Author(s) 2020.

PY - 2020/4/17

Y1 - 2020/4/17

N2 - 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.

AB - 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.

KW - Moduli spaces

KW - Diffeomorphism groups

KW - Homological stability

KW - Characteristic classes

UR - https://www.scopus.com/pages/publications/85083555137

U2 - 10.1007/s40687-020-00207-6

DO - 10.1007/s40687-020-00207-6

M3 - Journal article

C2 - 32382705

SN - 0025-5564

VL - 7

SP - 9

JO - Mathematical Biosciences

JF - Mathematical Biosciences

IS - 2

ER -

Operations on stable moduli spaces

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