V. Chernov

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20012003

most citedAlgebraic structures on generalized strings

4 citations · 5 across the 3 of their papers we have counts for

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4 papers · 1 filter

math.GT2003★ 4 cited

Algebraic structures on generalized strings

Vladimir Chernov, Yuli. B. Rudyak

A garland based on a manifold $P$ is a finite set of manifolds homeomorphic to $P$ with some of them glued together at marked points. Fix a manifold $M$ and consider a space $\NN$…

math.GT2003

On generalized winding numbers

Vladimir Chernov, Yuli B. Rudyak

Let $M^{m}$ be an oriented manifold, let $N^{m - 1}$ be an oriented closed manifold, and let $p$ be a point in $M^{m}$ . For a smooth map $f : N^{m - 1} \to M^{m}, p \neq \in I m f,$ we introduce…

math.GT2002★ 1 cited

Affine Linking Numbers and Causality Relations for Wave Fronts

Vladimir Chernov, Yuli B. Rudyak

Two wave fronts $W_{1}$ and $W_{2}$ that originated at some points of the manifold $M^{n}$ are said to be causally related if one of them passed through the origin of the other before th…

math.GT2001

Framed knots in 3-manifolds and affine self-linking numbers

Vladimir Chernov

The number $∣ K ∣$ of non-isotopic framed knots that correspond to a given unframed knot $K \subset S^{3}$ is infinite. This follows from the existence of the self-linking number $\slk$…