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Motivic homological stability for configuration spaces of the line

Motivic homological stability for configuration spaces of the line We lift the classical theorem of Arnol'd on homological stability for configuration spaces of the plane to the motivic world. More precisely, we prove that the schemes of unordered configurations of points in the affine line satisfy stability with respect to the motivic $t$ -structure on mixed Tate motives. © 2016 London Mathematical Society « Previous | Next Article » Table of Contents This Article Bull. London Math. Soc. (2016) 48 (4): 601-616. doi: 10.1112/blms/bdw032 First published online: June 3, 2016 » Abstract Free Full Text (HTML) Free Full Text (PDF) Free All Versions of this Article: bdw032v1 48/4/601 most recent Classifications Article Services Article metrics Alert me when cited Alert me if corrected Find similar articles Similar articles in Web of Science Add to my archive Download citation Citing Articles Load citing article information Citing articles via CrossRef Citing articles via Scopus Citing articles via Web of Science Google Scholar Articles by Horel, G. Related Content Load related web page information Share Email this article CiteULike Delicious Facebook Google+ Mendeley Twitter What's this? Search this journal: Advanced » Current Issue August 2016 48 (4) Alert me to new issues The Journal About the journal Rights & Permissions We are mobile – find out more Published on behalf of London Mathematical Society Impact Factor: 0.789 5-Yr impact factor: 0.788 Editors Peter Jørgensen Michael White View full editorial board LMS journals now available in full MathJax HTML. MathJax is an open-source JavaScript display engine that produces high-quality mathematics in all modern browsers. To learn more about MathJax, please visit their site at www.MathJax.org. For Authors Instructions to authors Including copyright assignment, and offprints order forms Alerting Services Email table of contents Email Advance Access CiteTrack XML RSS feed Corporate Services What we offer Advertising sales Reprints Supplements var taxonomies = ("SCI01480", "SCI01640", "SCI01790", "SCI02030"); Most Most Read Yutaka Taniyama and His Time: Very Personal Recollections On K-stability of finite covers The Geometries of 3-Manifolds Algebraic Potential Theory on Graphs The Hadamard circulant conjecture » View all Most Read articles Most Cited The Geometries of 3-Manifolds Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces Convexity and Commuting Hamiltonians Another Report on Harmonic Maps A Report on Harmonic Maps » View all Most Cited articles Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department. Online ISSN 1469-2120 - Print ISSN 0024-6093 Copyright © 2016 London Mathematical Society Oxford Journals Oxford University Press Site Map Privacy Policy Cookie Policy Legal Notices Frequently Asked Questions Other Oxford University Press sites: Oxford University Press Oxford Journals China Oxford Journals Japan Academic & Professional books Children's & Schools Books Dictionaries & Reference Dictionary of National Biography Digital Reference English Language Teaching Higher Education Textbooks International Education Unit Law Medicine Music Online Products & Publishing Oxford Bibliographies Online Oxford Dictionaries Online Oxford English Dictionary Oxford Language Dictionaries Online Oxford Scholarship Online Reference Rights and Permissions Resources for Retailers & Wholesalers Resources for the Healthcare Industry Very Short Introductions World's Classics var gaJsHost = (("https:" == document.location.protocol) ? "https://ssl." : "http://www."); document.write(unescape("%3Cscript src='" + gaJsHost + "google-analytics.com/ga.js' type='text/javascript'%3E%3C/script%3E")); try { var pageTracker = _gat._getTracker("UA-189672-16"); pageTracker._setDomainName(".oxfordjournals.org"); pageTracker._trackPageview(); } catch(err) {} http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Oxford University Press

Motivic homological stability for configuration spaces of the line

Motivic homological stability for configuration spaces of the line

Bulletin of the London Mathematical Society , Volume 48 (4) – Aug 1, 2016

Abstract

We lift the classical theorem of Arnol'd on homological stability for configuration spaces of the plane to the motivic world. More precisely, we prove that the schemes of unordered configurations of points in the affine line satisfy stability with respect to the motivic $t$ -structure on mixed Tate motives. © 2016 London Mathematical Society « Previous | Next Article » Table of Contents This Article Bull. London Math. Soc. (2016) 48 (4): 601-616. doi: 10.1112/blms/bdw032 First published online: June 3, 2016 » Abstract Free Full Text (HTML) Free Full Text (PDF) Free All Versions of this Article: bdw032v1 48/4/601 most recent Classifications Article Services Article metrics Alert me when cited Alert me if corrected Find similar articles Similar articles in Web of Science Add to my archive Download citation Citing Articles Load citing article information Citing articles via CrossRef Citing articles via Scopus Citing articles via Web of Science Google Scholar Articles by Horel, G. Related Content Load related web page information Share Email this article CiteULike Delicious Facebook Google+ Mendeley Twitter What's this? Search this journal: Advanced » Current Issue August 2016 48 (4) Alert me to new issues The Journal About the journal Rights & Permissions We are mobile – find out more Published on behalf of London Mathematical Society Impact Factor: 0.789 5-Yr impact factor: 0.788 Editors Peter Jørgensen Michael White View full editorial board LMS journals now available in full MathJax HTML. MathJax is an open-source JavaScript display engine that produces high-quality mathematics in all modern browsers. To learn more about MathJax, please visit their site at www.MathJax.org. For Authors Instructions to authors Including copyright assignment, and offprints order forms Alerting Services Email table of contents Email Advance Access CiteTrack XML RSS feed Corporate Services What we offer Advertising sales Reprints Supplements var taxonomies = ("SCI01480", "SCI01640", "SCI01790", "SCI02030"); Most Most Read Yutaka Taniyama and His Time: Very Personal Recollections On K-stability of finite covers The Geometries of 3-Manifolds Algebraic Potential Theory on Graphs The Hadamard circulant conjecture » View all Most Read articles Most Cited The Geometries of 3-Manifolds Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces Convexity and Commuting Hamiltonians Another Report on Harmonic Maps A Report on Harmonic Maps » View all Most Cited articles Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department. Online ISSN 1469-2120 - Print ISSN 0024-6093 Copyright © 2016 London Mathematical Society Oxford Journals Oxford University Press Site Map Privacy Policy Cookie Policy Legal Notices Frequently Asked Questions Other Oxford University Press sites: Oxford University Press Oxford Journals China Oxford Journals Japan Academic & Professional books Children's & Schools Books Dictionaries & Reference Dictionary of National Biography Digital Reference English Language Teaching Higher Education Textbooks International Education Unit Law Medicine Music Online Products & Publishing Oxford Bibliographies Online Oxford Dictionaries Online Oxford English Dictionary Oxford Language Dictionaries Online Oxford Scholarship Online Reference Rights and Permissions Resources for Retailers & Wholesalers Resources for the Healthcare Industry Very Short Introductions World's Classics var gaJsHost = (("https:" == document.location.protocol) ? "https://ssl." : "http://www."); document.write(unescape("%3Cscript src='" + gaJsHost + "google-analytics.com/ga.js' type='text/javascript'%3E%3C/script%3E")); try { var pageTracker = _gat._getTracker("UA-189672-16"); pageTracker._setDomainName(".oxfordjournals.org"); pageTracker._trackPageview(); } catch(err) {}

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References (31)

Publisher
Oxford University Press
Copyright
Copyright © 2016 London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/bdw032
Publisher site
See Article on Publisher Site

Abstract

We lift the classical theorem of Arnol'd on homological stability for configuration spaces of the plane to the motivic world. More precisely, we prove that the schemes of unordered configurations of points in the affine line satisfy stability with respect to the motivic $t$ -structure on mixed Tate motives. © 2016 London Mathematical Society « Previous | Next Article » Table of Contents This Article Bull. London Math. Soc. (2016) 48 (4): 601-616. doi: 10.1112/blms/bdw032 First published online: June 3, 2016 » Abstract Free Full Text (HTML) Free Full Text (PDF) Free All Versions of this Article: bdw032v1 48/4/601 most recent Classifications Article Services Article metrics Alert me when cited Alert me if corrected Find similar articles Similar articles in Web of Science Add to my archive Download citation Citing Articles Load citing article information Citing articles via CrossRef Citing articles via Scopus Citing articles via Web of Science Google Scholar Articles by Horel, G. Related Content Load related web page information Share Email this article CiteULike Delicious Facebook Google+ Mendeley Twitter What's this? Search this journal: Advanced » Current Issue August 2016 48 (4) Alert me to new issues The Journal About the journal Rights & Permissions We are mobile – find out more Published on behalf of London Mathematical Society Impact Factor: 0.789 5-Yr impact factor: 0.788 Editors Peter Jørgensen Michael White View full editorial board LMS journals now available in full MathJax HTML. MathJax is an open-source JavaScript display engine that produces high-quality mathematics in all modern browsers. To learn more about MathJax, please visit their site at www.MathJax.org. For Authors Instructions to authors Including copyright assignment, and offprints order forms Alerting Services Email table of contents Email Advance Access CiteTrack XML RSS feed Corporate Services What we offer Advertising sales Reprints Supplements var taxonomies = ("SCI01480", "SCI01640", "SCI01790", "SCI02030"); Most Most Read Yutaka Taniyama and His Time: Very Personal Recollections On K-stability of finite covers The Geometries of 3-Manifolds Algebraic Potential Theory on Graphs The Hadamard circulant conjecture » View all Most Read articles Most Cited The Geometries of 3-Manifolds Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces Convexity and Commuting Hamiltonians Another Report on Harmonic Maps A Report on Harmonic Maps » View all Most Cited articles Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department. Online ISSN 1469-2120 - Print ISSN 0024-6093 Copyright © 2016 London Mathematical Society Oxford Journals Oxford University Press Site Map Privacy Policy Cookie Policy Legal Notices Frequently Asked Questions Other Oxford University Press sites: Oxford University Press Oxford Journals China Oxford Journals Japan Academic & Professional books Children's & Schools Books Dictionaries & Reference Dictionary of National Biography Digital Reference English Language Teaching Higher Education Textbooks International Education Unit Law Medicine Music Online Products & Publishing Oxford Bibliographies Online Oxford Dictionaries Online Oxford English Dictionary Oxford Language Dictionaries Online Oxford Scholarship Online Reference Rights and Permissions Resources for Retailers & Wholesalers Resources for the Healthcare Industry Very Short Introductions World's Classics var gaJsHost = (("https:" == document.location.protocol) ? "https://ssl." : "http://www."); document.write(unescape("%3Cscript src='" + gaJsHost + "google-analytics.com/ga.js' type='text/javascript'%3E%3C/script%3E")); try { var pageTracker = _gat._getTracker("UA-189672-16"); pageTracker._setDomainName(".oxfordjournals.org"); pageTracker._trackPageview(); } catch(err) {}

Journal

Bulletin of the London Mathematical SocietyOxford University Press

Published: Aug 1, 2016

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