Ribbon graphs and bialgebra of Lagrangian subspaces (Q2835372)

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scientific article; zbMATH DE number 6659066
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Ribbon graphs and bialgebra of Lagrangian subspaces
scientific article; zbMATH DE number 6659066

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    Ribbon graphs and bialgebra of Lagrangian subspaces (English)
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    2 December 2016
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    ribbon graph
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    chord diagram
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    Vassiliev knot invariant
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    Morse perestroikas
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    L-spaces
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    These authors introduce the invariant ``L-space'' of ribbon graphs, generalizing the intersection matrices of chord diagrams and reinterpreting the actions of Morse perestroikas and Vassiliev moves. They also define a bialgebra on its span ``which is analogous to the 4-bialgebra structure on chord diagrams.'' The paper is dedicated to the memory of Sergei Duzhin, whose kindness to this reviewer will not be forgotten.
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