Slopes of links and signature formulas

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buir.contributor.authorDegtyarev, Alex I.
dc.citation.epage11en_US
dc.citation.spage1en_US
dc.citation.volumeNumber772en_US
dc.contributor.authorDegtyarev, Alex I.
dc.contributor.authorFlorens, V.
dc.contributor.authorLecuona, A.G.
dc.contributor.editorVershik, A.M.
dc.contributor.editorBuchstaber, V.M.
dc.contributor.editorMalyutin, A.V.
dc.coverage.spatialMoscow, Russiaen_US
dc.date.accessioned2022-01-27T11:44:52Z
dc.date.available2022-01-27T11:44:52Z
dc.date.issued2021
dc.departmentDepartment of Mathematicsen_US
dc.descriptionDate of Conference: August 19–23, 2019en_US
dc.descriptionConference Name: Conference on Topology, Geometry, and Dynamics: V. A. Rokhlin-100en_US
dc.description.abstractWe present a new invariant, called slope, of a colored link in an integral homology sphere and use this invariant to complete the signature formula for the splice of two links. We develop a number of ways of computing the slope and a few vanishing results. Besides, we discuss the concordance invariance of the slope and establish its close relation to the Conway polynomials, on the one hand, and to the Kojima-Yamasaki η-function (in the univariate case) and Cochran invariants, on the other hand. © 2021 by the American Mathematical Society.en_US
dc.description.provenanceSubmitted by Betül Özen (ozen@bilkent.edu.tr) on 2022-01-27T11:44:52Z No. of bitstreams: 1 Slopes_of_links_and_signature_formulas.pdf: 335514 bytes, checksum: fa248402557b675ad4610c077cce1d13 (MD5)en
dc.description.provenanceMade available in DSpace on 2022-01-27T11:44:52Z (GMT). No. of bitstreams: 1 Slopes_of_links_and_signature_formulas.pdf: 335514 bytes, checksum: fa248402557b675ad4610c077cce1d13 (MD5) Previous issue date: 2020-02-23en
dc.identifier.doi10.1090/conm/772/15483en_US
dc.identifier.eisbn978-1-4704-6451-6en_US
dc.identifier.isbn978-147045664-1
dc.identifier.urihttp://hdl.handle.net/11693/76837
dc.language.isoEnglishen_US
dc.publisherAmerican Mathematical Societyen_US
dc.relation.ispartofTopology, geometry, and dynamics: V. A. Rokhlin-memorialen_US
dc.relation.isversionofhttps://dx.doi.org/10.1090/conm/772/15483en_US
dc.source.titleContemporary Mathematicsen_US
dc.subjectC-complexen_US
dc.subjectColored linken_US
dc.subjectConcordanceen_US
dc.subjectMultivariate signatureen_US
dc.subjectSlopeen_US
dc.subjectSpliceen_US
dc.titleSlopes of links and signature formulasen_US
dc.typeConference Paperen_US

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