@article{VCHGU_2003_9_a2,
author = {O. M. Davydov},
title = {{\CYRD}{\cyrv}{\cyru}{\cyrl}{\cyri}{\cyrs}{\cyrt}{\cyrn}{\cyrery}{\cyre} {\cyrr}{\cyra}{\cyrz}{\cyrv}{\cyre}{\cyrt}{\cyrv}{\cyrl}{\cyre}{\cyrn}{\cyrn}{\cyrery}{\cyre} {\cyrn}{\cyra}{\cyrk}{\cyrr}{\cyrery}{\cyrt}{\cyri}{\cyrya} {\cyrt}{\cyrr}{\cyre}{\cyrh}{\cyrm}{\cyre}{\cyrr}{\cyrn}{\cyro}{\cyrishrt} {\cyrs}{\cyrf}{\cyre}{\cyrr}{\cyrery},},
journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
pages = {42--50},
year = {2003},
number = {9},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VCHGU_2003_9_a2/}
}
TY - JOUR AU - O. M. Davydov TI - Двулистные разветвленные накрытия трехмерной сферы, JO - Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika PY - 2003 SP - 42 EP - 50 IS - 9 UR - http://geodesic.mathdoc.fr/item/VCHGU_2003_9_a2/ LA - ru ID - VCHGU_2003_9_a2 ER -
O. M. Davydov. Двулистные разветвленные накрытия трехмерной сферы,. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 9 (2003), pp. 42-50. http://geodesic.mathdoc.fr/item/VCHGU_2003_9_a2/
[1] Dubrovin B.A., Novikov S.P., Fomenko A.T., Sovremennaya geometriya, MTsNMO, M., 1997
[2] Birman J.S., Hilden H.M., “Heegard Splittings of Branched Coverings of S3”, Trans. Amer. Math. Soc., 213 (1975), 315–352 | MR | Zbl
[3] Montesinos J.M., Whitten W., “Constructions of Two-Fold Branched Coverings of S3”, Pacif. J. of Math., 125:2 (1986.), 415–446 | DOI | MR
[4] Ferri M., “Crystallisation of 2-Fold Branched Coverings of S3”, Proc. Amer. Math. Soc., 72 (1979), 271–276 | MR
[5] Casali M. R., “Coloured Knots and Coloured Graphs Representing Simple Coverings of S3”, Discr. Math., 137 (1995), 87–89 | DOI | MR
[6] Garofalidis S., Kricker A., Finite Type Invariants of Cyclic Branched Coverings, 2001, arXiv: math.GT/0107220
[7] Zaganesku M., “Chern-Simons Fields on Seifert Fibered Spaces”, Europhys. Lett., 18:5 (1992), 381–385 | DOI | MR
[8] Kirby R., Problems of Low-Dimensional Topology, Springer, 1976; 1997
[9] Viro O.Ya., “Dvulistnye nakrytiya trekhmernoi sfery”, Zap. nauch. seminarov LOMI, 36, 1973, 6–39 | Zbl
[10] Viro O.Ya., “Zatsepleniya, dvulistnye nakrytiya i kosy”, Mat. sb., 87(129) (1972), 216–228 | Zbl
[11] Viro O.Ya., “Neproektiruyuschiesya uzly s gomeomorfnymi nakryvayuschimi”, Zap. nauch. seminarov LOMI, 66 (1976), 133–147 | Zbl
[12] Waldhausen P., “Uber Involution der 3-Sphare”, Topology, 8:1 (1969), 81–92 | DOI | MR
[13] Ovchinnikov M.A., “Spetsialnyi spain linzy tipa dlinnaya vosmerka i lin- za kak prostranstvo dvulistnogo nakrytiya 3-sfery razvetvlennogo vdol dvumostnogo zatsepleniya”, Vestn. Chelyab. un-ta. Ser. 3, 1(4) (1999), 145–154
[14] Davydov O. M., “Postroenie spetsialnykh spainov prostranstv dvulistnykh razvetvlennykh nakrytii trekhmernoi sfery”, Vestn. Chelyab. un-ta. Ser. 3, 1(6) (2002), 13–18 | Zbl
[15] Vesnin A.Yu., Mednykh A.D., “Mnogoobraziya Fibonachchi kak dvulistnye nakry- tiya nad trekhmernoi sferoi i gipoteza Meiergofa–Noimana”, Sib. mat. zhurn., 37:3 (1996), 534–542 | MR | Zbl
[16] Mednykh A., Vesnin A., Hyperelliptic Involutions of Small Volume Hyperbolic 3-Manifolds, Preprint 189, University of Helsinki, 1998 | MR
[17] Reni M., “On $\pi$-Hyperbolic Knots With the Same 2-Fold Branched Coverings”, Math. Ann., 316 (2000), 681–697 | DOI | MR | Zbl
[18] Reni M., Zimmerman B., “Hyperbolic 3-Manifolds and Cyclic Branched Coverings of Knots and Links”, Atti Sem. Mat. Fis. Univ. Modena, II (2001), 135–153 | MR
[19] Mednykh A., Reni M., “Twofold Unbranched Coverings of Genus Two 3-Manifolds are Hyperelliptic”, Israel J. of Math., 125 (2001), 149–155 | DOI | MR