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...

Descripción completa

Detalles Bibliográficos
Autores principales: Galatius, Søren, Randal-Williams, Oscar
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Research
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
_version_ 1783528321710030848
author Galatius, Søren
Randal-Williams, Oscar
author_facet Galatius, Søren
Randal-Williams, Oscar
author_sort Galatius, Søren
collection PubMed
description 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.
format Online
Article
Text
id pubmed-7194281
institution National Center for Biotechnology Information
language English
publishDate 2020
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-71942812020-05-05 Operations on stable moduli spaces Galatius, Søren Randal-Williams, Oscar Res Math Sci Research 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. Springer International Publishing 2020-04-17 2020 /pmc/articles/PMC7194281/ /pubmed/32382705 http://dx.doi.org/10.1007/s40687-020-00207-6 Text en © The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Research
Galatius, Søren
Randal-Williams, Oscar
Operations on stable moduli spaces
title Operations on stable moduli spaces
title_full Operations on stable moduli spaces
title_fullStr Operations on stable moduli spaces
title_full_unstemmed Operations on stable moduli spaces
title_short Operations on stable moduli spaces
title_sort operations on stable moduli spaces
topic Research
url 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
work_keys_str_mv AT galatiussøren operationsonstablemodulispaces
AT randalwilliamsoscar operationsonstablemodulispaces

Ejemplares similares