Zobrazeno 1 - 7
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pro vyhledávání: '"Vladimir Tchernov"'
Autor:
Vladimir Tchernov
Publikováno v:
Topology. 42:1-33
We show that for a large class of contact three-manifolds the groups of Vassiliev invariants of Legendrian and of framed knots are canonically isomorphic. As a corollary, we obtain that the group of finite order Arnold's J+-type invariants of wave fr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c68336a2e1c6495aa3ee53813f454b3a
https://doi.org/10.1016/s0040-9383(01)00039-8
https://doi.org/10.1016/s0040-9383(01)00039-8
Autor:
Vladimir Tchernov
Publikováno v:
Compositio Mathematica. 135:103-122
The study of the Vassiliev invariants of Legendrian knots was started by D. Fuchs and S. Tabachnikov who showed that the groups of C-valued Vassiliev invariants of Legendrian and of framed knots in the standard contact R3 are canonically isomorphic.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f28f68539b73a336e83887fa4f98f88
https://doi.org/10.1023/a:1021733206049
https://doi.org/10.1023/a:1021733206049
Publikováno v:
Geometriae Dedicata. 95:215-225
A diagram D of a knot defines the corresponding Gauss Diagram G D . However, not all Gauss diagrams correspond to the ordinary knot diagrams. From a Gauss diagram G we construct closed surfaces F G and S G in two different ways, and we show that if t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2110e1f043968a1a5c986fb15ea400fb
https://doi.org/10.1023/a:1021211008278
https://doi.org/10.1023/a:1021211008278
Autor:
Vladimir Tchernov
Publikováno v:
Journal of Knot Theory and Its Ramifications. :257-266
As it is well-known, all Vassiliev invariants of degree one of a knot K ⊂ ℝ3 are trivial. There are nontrivial Vassiliev invariants of degree one, when the ambient space is not ℝ3. Recently, T. Fiedler introduced such invariants of a knot in an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bc83b0e77e3427e5c0402fbbae965ab4
https://doi.org/10.1142/s0218216598000164
https://doi.org/10.1142/s0218216598000164
Autor:
Vladimir Tchernov
Recently V. Arnold introduced Strangeness and $J^{\pm}$ invariants of generic immersions of an oriented circle to $\R^2$. Here these invariants are generalized to the case of generic immersions of an oriented circle to an arbitrary surface $F$. We ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a945d9b28c440146ec9737583c23d3aa
http://arxiv.org/abs/math/9906125
http://arxiv.org/abs/math/9906125
Autor:
Vladimir Tchernov
Publikováno v:
MATHEMATICA SCANDINAVICA. 86:36
We explicitly calculate the fundamental group of the space $\mathcal F$ of all immersed closed curves on a surface $F$. It is shown that $��_n(\mathcal F)=0$, n>1 for $F\neq S^2, RP^2$. It is also proved that $��_2(\mathcal F)=\Z$, and $�
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c76c407f0fe0dc00f68b6c9fe084beb1
https://doi.org/10.7146/math.scand.a-14280
https://doi.org/10.7146/math.scand.a-14280
Autor:
Vladimir Tchernov
Publikováno v:
Compositio Mathematica; Jan2003, Vol. 135 Issue 1, p103-122, 20p