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V. Tourtchine

3 papers hereh-index 14628 citations42 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author2
  • middle author1

Across the 3 of 3 papers where every author was matched, so the position is known.

fields
  • math.AT2
  • math.QA1

identity via Semantic Scholar / OpenAlex

activity
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

collaborators

3 papers

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 Rd, where d≥4, collapses at the E2 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…

math.QA2001

On the homology of the spaces of long knots

Victor Tourtchine

This paper is a little more detailed version of math-QA/0010017 "Sur l'homologie des espaces de nœuds non-compacts", where the first term of the Vassiliev spectral sequence (comput…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.