This article is cited in 4 papers

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

V. É. Turchin<sup>ab

a</sup> Independent University of Moscow
^b Université catholique de Louvain

Abstract: 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.

Key words and phrases: Knot spaces, discriminant, bialgebra of chord diagrams, sphere, Hopf algebra with divided powers, simplicial algebra.

MSC: Primary 57Q45; Secondary 57Q35

Received: November 14, 2005

Language: English

DOI: 10.17323/1609-4514-2006-6-1-169-194

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