Operations on stable moduli spaces.
Published version
Peer-reviewed
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Type
Article
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Authors
Randal-Williams, Oscar
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.
Description
Keywords
Characteristic classes, Diffeomorphism groups, Homological stability, Moduli spaces
Journal Title
Res Math Sci
Conference Name
Journal ISSN
2522-0144
2197-9847
2197-9847
Volume Title
7
Publisher
Springer Science and Business Media LLC
Publisher DOI
Sponsorship
Engineering and Physical Sciences Research Council (EP/M027783/1)
European Research Council (756444)
Leverhulme Trust (PLP-2017-017)
European Research Council (756444)
Leverhulme Trust (PLP-2017-017)
EPSRC grant EP/M027783/1, the ERC under the European Union's Horizon 2020 research and innovation programme (grant agreement
No. 756444), and a Philip Leverhulme Prize from the Leverhulme Trust.