12
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: not found

      UNIVERSAL VASSILIEV INVARIANTS OF LINKS IN COVERINGS OF 3-MANIFOLDS

      1
      Journal of Knot Theory and Its Ramifications
      World Scientific Pub Co Pte Ltd

      Read this article at

      ScienceOpenPublisher
      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          We study Vassiliev invariants of links in a 3-manifold M by using chord diagrams labeled by elements of the fundamental group of M. We construct universal Vassiliev invariants of links in M, where M=P 2×[0,1] is a cylinder over the real projective plane P 2, M=Σ×[0,1] is a cylinder over a surface Σ with boundary, and M=S 1×S 2. A finite covering p:N→M induces a map π 1(p)* between labeled chord diagrams that corresponds to taking the preimage p -1(L)⊂N of a link L⊂M. The maps p -1 and π 1(p)* intertwine the constructed universal Vassiliev invariants.

          Related collections

          Most cited references11

          • Record: found
          • Abstract: not found
          • Article: not found

          On the Vassiliev knot invariants

            Bookmark
            • Record: found
            • Abstract: not found
            • Book: not found

            Quantum Groups

              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              On a universal perturbative invariant of 3-manifolds

                Bookmark

                Author and article information

                Journal
                Journal of Knot Theory and Its Ramifications
                J. Knot Theory Ramifications
                World Scientific Pub Co Pte Ltd
                0218-2165
                1793-6527
                November 21 2011
                June 2004
                November 21 2011
                June 2004
                : 13
                : 04
                : 515-555
                Affiliations
                [1 ]Mathematisches Institut, Rheinsprung 21, CH-4051, Basel
                Article
                10.1142/S0218216504003275
                28cda291-5372-4073-9040-3031111bff81
                © 2004
                History

                Biochemistry,Animal science & Zoology
                Biochemistry, Animal science & Zoology

                Comments

                Comment on this article

                scite_
                0
                0
                0
                0
                Smart Citations
                0
                0
                0
                0
                Citing PublicationsSupportingMentioningContrasting
                View Citations

                See how this article has been cited at scite.ai

                scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.

                Similar content184

                Cited by1

                Most referenced authors39