Geodesic
Длинные кривые, гауссовы диаграммы и инварианты
Matematicheskoe Prosveshchenie, Matematicheskoe Prosveshchenie (1999), pp. 94-115.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{MP_1999_a8,
     author = {Yu. M. Burman},
     title = {{\CYRD}{\cyrl}{\cyri}{\cyrn}{\cyrn}{\cyrery}{\cyre} {\cyrk}{\cyrr}{\cyri}{\cyrv}{\cyrery}{\cyre}, {\cyrg}{\cyra}{\cyru}{\cyrs}{\cyrs}{\cyro}{\cyrv}{\cyrery} {\cyrd}{\cyri}{\cyra}{\cyrg}{\cyrr}{\cyra}{\cyrm}{\cyrm}{\cyrery} {\cyri} {\cyri}{\cyrn}{\cyrv}{\cyra}{\cyrr}{\cyri}{\cyra}{\cyrn}{\cyrt}{\cyrery}},
     journal = {Matematicheskoe Prosveshchenie},
     pages = {94--115},
     publisher = {mathdoc},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MP_1999_a8/}
}
TY  - JOUR
AU  - Yu. M. Burman
TI  - Длинные кривые, гауссовы диаграммы и инварианты
JO  - Matematicheskoe Prosveshchenie
PY  - 1999
SP  - 94
EP  - 115
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MP_1999_a8/
LA  - ru
ID  - MP_1999_a8
ER  - 
%0 Journal Article
%A Yu. M. Burman
%T Длинные кривые, гауссовы диаграммы и инварианты
%J Matematicheskoe Prosveshchenie
%D 1999
%P 94-115
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MP_1999_a8/
%G ru
%F MP_1999_a8
Yu. M. Burman. Длинные кривые, гауссовы диаграммы и инварианты. Matematicheskoe Prosveshchenie, Matematicheskoe Prosveshchenie (1999), pp. 94-115. http://geodesic.mathdoc.fr/item/MP_1999_a8/

[1] V. I. Arnold, A. N. Varchenko, S. M. Gusein-Zade, Osobennosti differentsiruemykh otobrazhenii, V 2-kh tomakh, Nauka, M., 1984

[2] H. Whitney, “On regular closed curves in the plane”, Comp. Math., 4 (1937), 276–284 | MR | Zbl

[3] A. T. Fomenko, D. B. Fuks, Kurs gomotopicheskoi topologii, Nauka, M., 1989

[4] B. G. Boltyanskii, V. A. Efremovich, Naglyadnaya topologiya, Nauka, M., 1983

[5] V. I. Arnold, “Plane curves, their invariants, perestroikas and classification”, Singularities and Bifurcations, Advances in Soviet Mathematics, 21, Amer. Math. Soc., Providence, RI, 1994, 33–91 | MR | Zbl

[6] O. Viro, First degree invariants of generic curves on surfaces, Preprint, Uppsala University, 1994

[7] A. Shumakovich, Formulas for strangeness of plane curves, Preprint, Uppsala University, 1994

[8] F. Aicardi, “Classification and invariants of tree-like curves”, Singularities and Bifurcations, Advances in Soviet Mathematics, 21, Amer. Math. Soc., Providence, RI, 1994, 1–31 | MR | Zbl

[9] M. Polyak, “Invariants of curves and fronts via Gauss diagrams”, Topology, 37:5 (1998), 989–1009 | DOI | MR | Zbl

[10] M. Polyak, O. Viro, “Gauss diagram formulas for Vassiliev invariants”, Internat. Math. Res. Notices, 1994, no. 11, 445ff., approx. 8 pp. (electronic) | MR

[11] V. A. Vassiliev, “Invariants of ornaments”, Singularities and Bifurcations, Advances in Soviet Mathematics, 21, Amer. Math. Soc., Providence, RI, 1994, 225–262 | MR | Zbl

[12] A. B. Merkov, Vassiliev invariants classify plane curves and doodles, Preprint 1996-98

[13] B. I. Arnold, Osobennosti kaustik i volnovykh frontov, Fazis, M., 1996