This paper describes grope and Whitney tower filtrations on the set of concordance classes of classical links in terms of class and order respectively. Using the tree-valued intersection theory of Whitney towers, the associated graded quotients are shown to be finitely generated abelian groups under a (surprisingly) well-defined connected sum operation. Twisted Whitney towers are also introduced, along with a corresponding quadratic enhancement of the intersection theory for framed Whitney towers that measures Whitney-disk framing obstructions. The obstruction theory in the framed setting is strengthened, and the relationships between the twisted and framed filtrations are described in terms of exact sequences which show how higher-order Sato-Levine and higher-order Arf invariants are obstructions to framing a twisted Whitney tower. The results from this paper combine with those in \cite{CST2,CST3,CST4} to give a classifications of the filtrations; see our survey \cite{CST0} as well as the end of the introduction. UPDATE: This paper has been completely subsumed into the paper "Whitney tower concordance of classical links" \cite{WTCCL}.
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTTHE IRREVERSIBLE REDUCTION OF ORGANIC COMPOUNDS IV. THE APPARENT REDUCTION POTENTIAL OF UNSATURATED CARBONYL COMPOUNDSJames B. Conant and Robert E. LutzCite this: J. Am. Chem. Soc. 1927, 49, 4, 1083–1091Publication Date (Print):April 1, 1927Publication History Published online1 May 2002Published inissue 1 April 1927https://pubs.acs.org/doi/10.1021/ja01403a033https://doi.org/10.1021/ja01403a033research-articleACS PublicationsRequest reuse permissionsArticle Views98Altmetric-Citations12LEARN ABOUT THESE METRICSArticle Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to reflect usage leading up to the last few days.Citations are the number of other articles citing this article, calculated by Crossref and updated daily. Find more information about Crossref citation counts.The Altmetric Attention Score is a quantitative measure of the attention that a research article has received online. Clicking on the donut icon will load a page at altmetric.com with additional details about the score and the social media presence for the given article. Find more information on the Altmetric Attention Score and how the score is calculated. Share Add toView InAdd Full Text with ReferenceAdd Description ExportRISCitationCitation and abstractCitation and referencesMore Options Share onFacebookTwitterWechatLinked InRedditEmail Other access optionsGet e-Alertsclose Get e-Alerts
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTTHE DISSOCIATION INTO FREE RADICALS OF SUBSTITUTED DIXANTHYLS IV. DIXANTHYL AND DIXANTHYL-9,9'-DICARBOXYLIC ACIDJames B. Conant and Benjamin S. Garvey Jr.Cite this: J. Am. Chem. Soc. 1927, 49, 8, 2080–2088Publication Date (Print):August 1, 1927Publication History Published online1 May 2002Published inissue 1 August 1927https://pubs.acs.org/doi/10.1021/ja01407a037https://doi.org/10.1021/ja01407a037research-articleACS PublicationsRequest reuse permissionsArticle Views69Altmetric-Citations13LEARN ABOUT THESE METRICSArticle Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to reflect usage leading up to the last few days.Citations are the number of other articles citing this article, calculated by Crossref and updated daily. Find more information about Crossref citation counts.The Altmetric Attention Score is a quantitative measure of the attention that a research article has received online. Clicking on the donut icon will load a page at altmetric.com with additional details about the score and the social media presence for the given article. Find more information on the Altmetric Attention Score and how the score is calculated. Share Add toView InAdd Full Text with ReferenceAdd Description ExportRISCitationCitation and abstractCitation and referencesMore Options Share onFacebookTwitterWechatLinked InRedditEmail Other access optionsGet e-Alertsclose Get e-Alerts
