A. Yu. Vesnin - Publications

Russian

[96] A.Yu. Vesnin, V.G. Turaev, E.A. Fominykh, Complexity of virtual 3-manifolds, Sbornik: Mathematics 207:11 (2016) (in press).

[95] D. Repovs, A. Vesnin, On Gehring-Martin-Tan groups with an elliptic generator, Bulletin of the Australian Mathematical Society 94:2 (2016), 326-336.

[94] E. Molnar, J. Szirmai, A. Vesnin, Geodesic and translation ball packings generated by prismatic tessellations of the universal cover of SL(2,R), Results in Mathematics, 19 pp. (in press)

[93] E. Fominykh, S. Garoufalidis, M. Goerner, V. Tarkaev, A. Vesnin, A census of tetrahedral hyperbolic manifolds, Experimental Mathematics 25:4 (2016), 466-481.

[92] V.G. Bardakov, K. Gongopadhyay, M. Singh, A. Vesnin, J. Wu, Some problems on knots, braids, and automorphism groups, Siberian Electronic Mathematical Reports 12 (2015), 394-405.

[91] A.Yu. Vesnin, V.G. Turaev, E.A. Fominykh, Three-dimensional manifolds with poor spines, Proceedings of the Steklov Institute of Mathematics 288:1 (2015), 29-38.

[90] A. Vesnin, A. Masley, Two-generator subgroups of PSL(2,C) which are extremal for the Jorgensen inequality and its analogues, Proceedings of the seminar of vector and tensor analysis in honor of P.K. Rashevsky, Moscow State University, in press. (pdf-file) (Russian)

[89] Yu.I. Shokin, A.Yu. Vesnin, A.A. Dobrynin, O.A. Klimenko, E.V. Rychkova, Analysis of a web space of academic communities by methods of webometrics and graph theory Information technologies 12 (2014), 31-40 (Russian)

[88] A.A. Dobrynin, A.Y. Vesnin, On deletion-contraction polynomials for polycyclic chains, MATCH Commun. Math. Comput. Chem. 72:3 (2014), 845-864.

[87] A.Yu.Vesnin, V. V.Tarkaev, E. A. Fominykh, Cusped hyperbolic 3-manifolds of complexity 10 having maximum volume, Proceedings of the Steklov Institute of Mathematics 289:1 (2015), 227-239.

[86] A.Yu. Vesnin, A.V. Masley On Jorgensen numbers and their analogs for groups of figure-eight orbifolds, Siberian Math. Journal 55:5 (2014), 807-816.

[85] A.Yu.Vesnin, E.A.Fominykh, Two-sided bounds for the complexity of hyperbolic three-manifolds with geodesic boundary, Proceedings of the Steklov Institute of Mathematics 286 (2014), 55-64.

[84] A.Yu. Vesnin, V.V. Tarkaev, E.A. Fominykh, On the complexity of three-dimensional cusped hyperbolic manifolds, Doklady Mathematics 89:3 (2014), 267-270.

[83] E. Molnar, J, Szirmai, A. Vesnin, Packing by translation balls in ~SL(2,C), Journal of Geometry 105:2 (2014), 287-306. (pdf-file)

[82] Yu.I. Shokin, A.Yu. Vesnin, A.A. Dobrynin, O.A. Klimenko, E.V. Rychkova, I.S. Petrov, Investigation of the academic web space of the Republic of Serbia Zbornik radova konferencije MIT 2013, Belgrad, Serbia, 2014. 601-607. (Russian) (pdf-file)

[81] Yu.I. Shokin, A.Yu. Vesnin, A.A. Dobrynin, O.A. Klimenko, E.V. Konstantinova, E.V. Rychkova, M.Yu. Savin, Studying of scientific web space by webometrics and graph theory methods, Zbornik radova konferencije MIT 2013, Belgrad, Serbia, 2014. 590-600. (Russian) (pdf-file)

[80] A.Yu. Vesnin, E.V. Konstantinova, M.Yu. Savin, On scenarios of joining new sites to the SB RAS web-space, Vestnik of the Novosibirsk State University. Series: Information Technologies. 11:4 (2013), 28-37. (Russian) (pdf-file)

[79] P. Buser, A. Mednykh, A. Vesnin, Lambert cube and Loebell polyhedron revisited, Advances in Geometry, 12:3 (2012), 525--548. (pdf-file)

[78] A. Vesnin, E Fominykh, On complexity of three-dimensional hyperbolic three-manifolds with geodesic boundary, Siberian Math. J. 53:4 (2012), 625-634.

[77] V.G. Bardakov, A.Yu. Vesnin, M.K. Yadav, Class preserving automorphisms of unitriangular groups, International Journal of Algebra and Computations, 22:3 (2012), 1250023-1 - 1250023-17. arXiv:1109.4710

[76] V. Bardakov, A. Vesnin, B. Wiest, Dynnikov coordinates on virtual braid groups, Journal of Knot Theory and its Ramifications, 21:5 (2012), 1250052-1 - 1250052-10. arXiv:1103.4441

[75] P. Cristifori, T. Kozlovskaya, A. Vesnin, Cyclic generalizations of two hyperbolic icosahedral manifolds, Topology and Its Applications, 159:8 (2012), 2071-2081. arXiv:1110.3134

[74] Y.I. Shokin, A.Y. Vesnin, A.A. Dobrynin, O.A. Klimenko, H.V. Rychkova, I.S. Petrov, Investigation of the academic Web space of the Siberian Branch of the Russian Academy of Sciences, Computational Technologies 17:6 (2012), 85-98. (Russian)

[73] A.Yu. Vesnin, S.V. Matveev, E.A. Fominykh,Complexity of 3-dimensional manifolds: exact values and estimates, Siberian Electronic Mathematical Report, 8 (2011), 341-364. (Russian)

[72] A.Yu. Vesnin, Invariants of spatial graphs and Coxeter groups, Bulletin of Kemerovo State University 3/1(47) (2011), 38-49. (Russian)

[71] E.A. Fominykh, A.Yu. Vesnin, Exact Values of Complexity for Paoluzzi - Zimmermann Manifolds, Doklady Mathematics 84:1 (2011), 542-544. arXiv:1105.2542

[70] A. Vesnin, T. Kozlovskaya, Branched Cyclic Coverings of Lens Spaces, Siberian Math. J. 52:3 (2011), 426-435. (pdf-file of the preprint version)

[69] D. Repovs, A. Vesnin, Two-sided bounds for the volume of right-angled hyperbolic polyhedra, Math. Notes 89:1 (2011), 31-36. arXiv:1104.3437

[68] A. Vesnin, Volumes and Normalized Volumes of Right-Angled Hyperbolic Polyhedra, Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 57 (2010), 159-169. (pdf-file)

[67] A. Litvintseva, A. Vesnin, On Linking of Hamiltonian Pairs of Cycles in Spatial Graphs, Siberian Electronic Mathematical Reports 7 (2010), 383-393. (Russian)

[66] A. Cattabriga, M. Mulazzani, A. Vesnin, Complexity, Heegaard diagrams and generalized Dunwoody manifolds, J. Korean Math. Soc. 47:3 (2010), 585-599. arXiv:0901.2288

[65] E. Molnar, J. Szirmai, A. Vesnin, Projective metric realizations of cone-manifold with singularities along 2-bridge knots and links, J. of Geometry 95 (2009), 91-133. (pdf-file)

[64] C. Petronio, A. Vesnin, Two-sided asymptotic bounds for the complexity of cyclic branched coverings of two-bridge links, Osaka J. Math. 46:4 (2009), 1077-1095. arXiv:math/0612830

[63] S. Matveev, C. Petronio, A. Vesnin, Two-sided asymptotic bounds for the complexity of some closed hyperbolic three-manifolds, Journal of the Australian Math. Soc 86:2 (2009). 205-219. arXiv:math/0602372

[62] A. Vesnin, On Hyperbolic $\pi$-orbifolds with arbitrary many singular components, Rendiconti dell'Istituto di Matematica dell'Universit'a di Trieste 39(2007), 375-386. (pdf-file)

[61] A. Mednykh, A. Vesnin, Loebell manifolds revised, Siberian Electronic Mathematical Reports, 4 (2007), 605-609.

[60] S. Matveev, C. Petronio, A. Vesnin, Two-sided complexity bounds for Loebell manifolds, Doklady Mathematics, 76:2 (2007), 689-691.

[59] V. Vershinin, A. Vesnin, Yamada polynomial and Khovanov cohomology, Intelligence of Low Dimensional Topology 2006, Ser. Knots Everything, 40, World Sci. Publ., Singapore, 2007, 337-346. arXiv:math/0611717

[58] P. Cristofori, M. Mulazzani, A. Vesnin, Strongly-cyclic branched coverings of knots via (g,1)-decompositions, Acta Math. Hungarica, 116:1-2 (2007), 163-176. arXiv:math/0402393

[57] L. Bokut, A. Vesnin, Grobner-Shirshov Bases for Some Braid Groups, Journal of Symbolic Computations, 41:3-4 (2006), 357-371.

[56] V. Bardakov, A. Vesnin, Weierstrass polynomials of singular braids and links, Chebyshevskii Sb. 6 (2005), no. 2(14), 36-51.(Russian)

[55] V. Bardakov, L. Bokut, A. Vesnin, Twisted conjugacy in free groups and Makanin's question, Southeast Asian Bulletin of Mathematics, 29:2 (2005),209-226. arXiv:math/0401349

[54] V. Bardakov, L. Bokut, A. Vesnin, On the conjugacy problem for cyclic extensions of free groups, Communications in Algebra, 33:6 (2005), 1979-1996. arXiv:math/0402060

[53] A. Mednykh, J. Parker, A. Vesnin, On Hyperbolic polyhedra arising as convex cores of quasi-Fuchsian punctured torus groups, Boletin de la Sociedad Matematica Mexicana, 10:3 (2004), 357-381. (pdf-file)

[52] A. Dobrynin, A. Vesnin, On the Yoshinaga polynomial of spatial graphs, Kobe Journal of Mathematics, 20:1-2 (2003), 31-37. (ps-file)

[51] A. Mednykh, A. Vesnin, Colourings of polyhedra and hyperelliptic 3-Manifolds. Recent advances in group theory and low-dimensional topology (Pusan, 2000), 123-131, Res. Exp. Math., 27, Heldermann, Lemgo, 2003. (ps-file)

[50] B. Ruini, F. Spaggiari, A. Vesnin, On spines of Seifert fibered manifolds, Aequationes Mathematicae, 65 (2003), 40-60.

[49] V. Bardakov, A. Vesnin, A generalization of Fibonacci groups, Algebra i Logika 42:2 (2003) 131-160 (Russian), translated in Algebra and Logic 42:2 (2003) 73-91.

[48] L. Bokut, A. Vesnin, New rewriting system for the Braid group B(4), in: Proceedings of Symposium in honor of Bruno Buchberger's 60th birthday "Logic, Mathematics and Computer Sciences: Intersections", Research Institute for Symbolic Computations, Linz, Austria, 2002, Report Series No. 02-60, 48-60.

[47] M. Mulazzani, A. Vesnin, Generalized Takahashi manifolds, Osaka Math. J. 39:3 (2002), 705-721.

[46] A. Mednykh, A. Vesnin, On the volume of hyperbolic Whitehead link cone-manifolds, SCIENTIA, Series A: Mathematical Science, 8 (2002), 1-11.

[45] A. Mednykh, A. Vesnin, B. Zimmermann, Surgery on small volume hyperbolic 3-orbifolds, Sibirsk. Mat. Zh. 42:2 (2001), 318-331 (Russian), translated in Siberian Math.J. 42:2 (2001), 271-281.

[44] A. Vesnin, B. Zimmermann, On Medial links and hyperbolic 3-manifolds with large isometry groups, Rendiconti del Circolo Matematico di Palermo 50 (2001), 347-358. (ps-file)

[43] A. Mednykh, A. Vesnin, Coxeter groups and branched coverings of lens spaces, J. Korean Math. Soc. 38:6 (2001), 1167-1178.

[42] A. Szczepanski, A. Vesnin, HNN Extension of Cyclically Presented Groups, Journal of Knot Theory and Its Ramifications 10:8 (2001), 1269-1279.

[41] A. Cavicchioli, D. Repovs, A. Vesnin, Recent results on the topology of three-manifolds, Atti Sem. Mat. Fis. Univ. Modena, Supplemento al Vol. IL (2001), 31-71.

[40] M. Mulazzani, A. Vesnin, The many faces of cyclic branched coverings of 2-bridge knots and links, Atti Sem. Mat. Fis. Univ. Modena, Supplemento al Vol. IL (2001), 177-215. (ps-file)

[39] A. Mednykh, M. Reni, A. Vesnin, B. Zimmermann, Three-fold coverings and hyperelliptic manifolds: three-dimensional version of a result of Accola, Rend. Instit. Mat. Univ. Trieste, Supp. Vol. 32 (2001), 181-191. (pdf-file)

[38] M. Reni, A. Vesnin, Hidden symmetries of cyclic branched coverings of 2-bridge knots, Rend. Instit. Mat. Univ. Trieste, Supp. Vol. 32 (2001), 289-304. (pdf-file)

[37] A.C. Kim, Y. Kim, A. Vesnin, On a class of cyclically presented groups, in: "Groups-Korea 1998", Proceedings of the International Conference held in Pusan, Korea, August 10-16, 1998, eds.: Y.G. Baik, D.L. Johnson and A.C. Kim, Berlin New-York, de Gruyter (2000), 211-220.

[36] A. Szczepanski, A. Vesnin, On generalized Fibonacci groups with odd number of generators, Communications in Algebra 28:2 (2000), 959-965.

[35] A. Szczepanski, A. Vesnin, Generalized Neuwirth groups and Seifert fibered manifolds, Algebra Colloquium 7:3 (2000), 295-303.

[34] A. Mednykh, A. Vesnin, On automorphisms and volumes of Riemann surfaces and three dimensional hyperbolic manifolds, in Proceedings of the 12 Siberian Workshop "Algebra, geometry, analysis and mathematical physics" held in Novosibirsk, July 1998, Institute of Mathematics, Novosibirsk (1999), 21-27 (Russian).

[33] A. Rasskazov, A. Vesnin, Isometries of hyperbolic Fibonacci manifolds, Sibirsk. Mat. Zh. 40:1 (1999), 14-29. (Russian), translated in Siberian Math. J. 40:1 (1999), 9-22.

[32] A. Mednykh, A. Vesnin, Three-dimensional hyperelliptic Manifolds and Hamiltonian Graphs, Sibirsk. Mat.Zh. 40:4 (1999), 745-763. (Russian), translated in Siberian Math. J. 40:4 (1999), 628-643.

[31] A. Mednykh, A. Vesnin, Spherical Coxeter groups and hyperelliptic 3-manifolds, Mat.Zametki 66:2 (1999), 173-177 (Russian), translated in Math. Notes. 66:2 (1999), 135-138.

[30] A. Mednykh, A. Vesnin, Three dimensional hyperbolic manifolds of small volume with three hyperelliptic involutions, Sibirsk. Mat. Zh. 40:5 (1999), 1035-1051 (Russian), translated in Siberian Math. J. 40:5 (1999), 873-886.

[29] A. Szczepanski, A. Vesnin, High dimensional knots corresponding to the fractional Fibonacci groups, Fundamenta Mathematicae 161:1-2 (1999), 235-240.

[28] A.C. Kim, A. Vesnin, Cyclically presented groups and Takahashi manifolds, in: Proceedings of Conference "Analysis of Discrete Groups, 2" held in RIMS, Kyoto University, Kyoto, Japan, December 2-6, 1996, "Surikaisekikenkyusho Kokyuroku" 1022 (1998), 200-212.

[27] A. Mednykh, A. Vesnin, Volumes and isometries of hyperbolic 3-manifolds, Proceedings of I Iberioamerican Congress on Geometry held in Santiago, Chile, January 5-10 (1998), 223-234.

[26] A. Mednykh, A. Vesnin, Riemann surfaces and hyperbolic 3-manifolds: automorphisms and volumes, Differential Equations and Applications: Proceedings of the International Conference in memoriam of A.I.Yablonskii, Grodno, GSU (1998), 35-44.

[25] A. Mednykh, A. Vesnin, Visualization of the isometry group action on the Fomenko-Matveev-Weeks manifold, Journal of Lie Theory 8:1 (1998), 51-66.

[24] A. Mednykh, A. Vesnin, Covering properties of small volume hyperbolic 3-manifolds, Journal of Knot Theory and Its Ramifications 7:3 (1998), 381-392.

[23] A.C. Kim, A. Vesnin, The fractional Fibonacci groups and manifolds, Sibirsk. Mat. Zh. 39:4 (1998), 765-775 (Russian), translated in Siberian Math. J. 39:4 (1998), 655-664.

[22] A. Vesnin, Volumes of three-dimensional hyperbolic Loebell manifolds, Mat. Zametki 64:1 (1998), 13-24 (Russian), translated in Math. Notes 64:1 (1998), 15-19.

[21] H. Lee, A. Vesnin, The growth of some orbifold groups, Southeast Asian Bulletin of Mathematics 22:3 (1998), 337-349.

[20] G. Kim, Y. Kim, A. Vesnin, The knot 5_2 and cyclically presented groups, J. Korean Math. Soc. 35(4) (1998), 961-980.

[19] A. Mednykh, A. Vesnin, On geometric and topological properties of Fibonacci manifolds, Bokut', L.A. (ed.) et al, Siberian Conference on Applied and Industrial Mathematics dedicated to the memory of L.V. Kantorovich, Vol. 1, Novosibirsk, Russia, July 25-29, 1994, Novosibirsk: Izdatel'stvo Instituta Matematiki SO RAN (1997), 353-364.

[18] A. Mednykh, A. Vesnin, The action of the isometry groups on the Weeks-Matveev-Fomenko manifold, in: Proceedings of the 10 Siberian Workshop "Algebra, geometry, analysis and mathematical physics" held in Novosibirsk, August 1996, Izdat. Ross. Akad. Nauk Sib. Otd Inst. Mat., Novosibirsk (1997), 63-76 (Russian).

[17] A. Vesnin, On volumes of some hyperbolic 3-manifolds, RIM--GARC Lecture Notes Series 30 , Seoul National University, Seoul, 1996, 132 pp.

[16] A. Mednykh, A. Vesnin, The ten smallest hyperbolic 3-manifolds as branched coverings, in: Proceedings of '95 INHA Symposium on Basic Science held in Inchon, Korea, December 8, 1995, Institute for Basic Science, Inha University (1996), 23-38.

[15] M. Hagelberg, A. Vesnin, On a family of hyperbolic dihedral theta (p/q)-orbifolds, Vychisl. Sistemy 155, Graph Theory and Its Applications (1996), 15-36 (Russian).

[14] A. Dobrynin, A. Vesnin, On Yamada polynomial for graphs knottedly embedded in the three-dimensional space, Vychisl. Sistemy 155, Graph Theory and Its Applications (1996), 37-86 (Russian).

[13] A. Dobrynin, A. Vesnin, On a recursive polynomial graph invariant for chains of polygons, Vychisl. Sistemy 155, Graph Theory and Its Applications (1996), 87-102.

[12] A. Mednykh, A. Vesnin, Fibonacci manifolds as two-fold coverings over the three-dimensional sphere and the Meyerhoff-Neumann conjecture, Sibirsk. Mat. Zh. 37:3 (1996), 534-542 (Russian), translated in Siberian Math. J. 37:3 (1996), 461-467.

[11] A. Mednykh, A. Vesnin, The Heegaard genus of three-dimensional hyperbolic manifolds of small volume, Sibirsk. Mat. Zh. 37:5 (1996), 1013-1018 (Russian), translated in Siberian Math. J. 37:5 (1996), 893-897.

[10] Y. Kim, A. Vesnin, On the Johnson's question about the Kim-Kostrikin group, Comm. Korean Math. Soc. 11:4 (1996), 933-936.

[9] A. Mednykh, A. Vesnin, On the Fibonacci groups, the Turk's head links and hyperbolic 3-manifolds, in: "Groups-Korea 1994", Proceedings of the International Conference held in Pusan, Korea, August 18-25, 1994, eds.: A.C. Kim and D.L. Johnson, Berlin New-York, de Gruyter 1995), 231-239.

[8] A. Mednykh, A. Vesnin, The geometry and topology of the Fibonacci manifolds, in: Proceedings of the 42nd Japanese Topological Symposium, held in Hirosaki, Japan, July 24-27, 1995, 127-141.

[7] A. Mednykh, A. Vesnin, Hyperbolic volumes of the Fibonacci manifolds, Sibirsk. Mat. Zh. 36:2 (1995), 266-277 (Russian), translated in Siberian Math. J. 36:2 (1995), 235-245.

[6] A. Mednykh, A. Vesnin, On limit ordinal numbers in the Thurston-Jorgensen theorem on the volumes of Three-Dimensional hyperbolic manifolds, Dokl. Akad. Nauk 336:1 (1994), 7-10 (Russian), translated in Russian Acad. Sci. Dokl. Math. 49:3 (1994), 435-439.

[5] A. Dobrynin, A. Vesnin, The Negami polynomial of graphs composed of polygons, Vychisl. Sistemy 151, Teor. grafov i ee Prilozhen (1994), 3-36 (Russian).

[4] A. Vesnin, Three-dimensional hyperbolic manifolds with general fundamental polyhedron, Mat. Zametki 49:6 (1991), 29-32 (Russian), translated in Math. Notes 49:5-6 (1991), 575-577.

[3] A. Vesnin, Cubic graphs and the generation of alternating links, Vychisl. Sistemy 140, Mat. Metody v Khim. Inform. (1991), 63-86, 207-208 (Russian).

[2] A. Vesnin, Three-dimensional hyperbolic manifolds of Loebell type, Sibirsk. Mat. Zh. 28:5 (1987), 50-53 (Russian), translated in Siberian Math.J. 28:5 (1987), 731-734.

[1] A. Mednykh, A. Vesnin, On three-dimensional hyperbolic manifolds of Lobell type, in: Complex Analysis and Applications'85, eds.: L. Iliev and I. Ramadanov, Sofia, Publ. House of Bulgarian Acad. Sci. 1986), 40-44.