4 citations · 5 across the 3 of their papers we have counts for
5 papers
Algebraic structures on generalized strings
Vladimir Chernov, Yuli. B. Rudyak
A garland based on a manifold is a finite set of manifolds homeomorphic to with some of them glued together at marked points. Fix a manifold and consider a space $\NN$…
On generalized winding numbers
Vladimir Chernov, Yuli B. Rudyak
Let be an oriented manifold, let be an oriented closed manifold, and let be a point in . For a smooth map we introduce…
Affine Linking Numbers and Causality Relations for Wave Fronts
Vladimir Chernov, Yuli B. Rudyak
Two wave fronts and that originated at some points of the manifold are said to be causally related if one of them passed through the origin of the other before th…
Framed knots in 3-manifolds and affine self-linking numbers
Vladimir Chernov
The number of non-isotopic framed knots that correspond to a given unframed knot is infinite. This follows from the existence of the self-linking number $\slk$…
Relative Framing of Transverse knots
Vladimir Chernov
It is well-known that a knot in a contact manifold transverse to a trivialized contact structure possesses the natural framing given by the first of the trivialization vect…