V. Tourtchine

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20012007

most citedCalculus of the first non-trivial 1-cocycle of the space of long knots

4 citations · 6 across the 2 of their papers we have counts for

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math.AT2007★ 2 cited

Coformality and the rational homotopy groups of spaces of long knots

Gregory Arone, Pascal Lambrechts, Victor Tourtchine +1

We show that the Bousfield-Kan spectral sequence which computes the rational homotopy groups of the space of long knots in $R^{d}$ , where $d \geq 4$ , collapses at the $E^{2}$ p…

math.AT2005★ 4 cited

Calculus of the first non-trivial 1-cocycle of the space of long knots

Victor Tourtchine

For the space of long knots in R^3, Vassiliev's theory defines the so called finite order cocycles. Zero degree cocycles are finite type knot invariants. The first non-trivial cocy…