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

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

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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.

Original language	English
Article number	9
Journal	Research in Mathematical Sciences
Volume	7
Issue number	2
Number of pages	13
ISSN	2522-0144
DOIs	https://doi.org/10.1007/s40687-020-00207-6
Publication status	Published - 2020

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10.1007/s40687-020-00207-6Licence: CC BY

Operations on stable moduli spacesFinal published version, 351 KBLicence: CC BY

Cite this

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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.",

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AU - Randal-williams, Oscar

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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.

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DO - 10.1007/s40687-020-00207-6

M3 - Journal article

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VL - 7

JO - Research in Mathematical Sciences

JF - Research in Mathematical Sciences

SN - 2522-0144

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