What is 1-term relation for higher homology of long knots

Mathematics – Algebraic Topology

Scientific paper

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20 pages

Scientific paper

Vassiliev's spectral sequence for long knots is discussed. Briefly speaking
we study what happens if the strata of non-immersions are ignored. Various
algebraic structures on the spectral sequence are introduced. General theorems
about these structures imply, for example, that the bialgebra of chord diagrams
is polynomial for any field of coefficients.

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