Papers and preprints
written by members of the laboratory
2014:
- Akimova A., Matveev S., Classification of genus 1 virtual knots having at most five classical crossings // Journal of Knot Theory and Its Ramifications, 2014, V. 23, no. 6, Article number 1450031. (WOS:000341582100002, 2013 IF=0,436). (download pdf)
- Mironov A.D., Morozov A.Y., Natanzon S.M., Infinite-dimensional topological field theories from Hurwitz numbers // Journal of Knot Theory and Its Ramifications, 2014, V. 23, no. 6, Article number 1450033. (WOS:000341582100004, 2013 IF=0,436). (download pdf)
- Korableva V.V., On the chief factors of parabolic maximal subgroups in finite simple groups of normal Lie type // Siberian Mathematical Journal, 2014, V. 55, no. 4, P. 622 - 638. (WOS:000340941400005, 2013 IF=0,296). (download pdf)
- Fedorov V.E., Ivanova N.D., Fedorova Y.Y., On a time nonlocal problem for inhomogeneous evolution equations // Siberian Mathematical Journal, 2014, V. 55, no. 4, P. 721 - 733. (WOS:000340941400014, 2013 IF=0,296). (download pdf)
- Bardakov V., Gongopadhyay K., On palindromic width of certain extensions and quotients of free nilpotent groups // International Journal of Algebra and Computation, 2014, V. 24, no. 5, 553-567. (WOS:000341783300002, 2013 IF=0,436). (download pdf)
- Manturov V.O., Framed 4-valent Graph Minor Theory I: Intoduction. A Planarity Criterion and Linkless Embeddability // Journal of Knot Theory and Its Ramifications, 2014, V. 23, no. 7, Article number 1460002. (WOS: 000342987500003, 2013 IF=0,436). (download pdf)
- Friesen T., Manturov V.O., Checkboard embeddings of star-graphs into nonorientable surfaces // Journal of Knot Theory and Its Ramifications, 2014, V. 23, no. 7, Article number 1460004. (WOS: 000342987500005, 2013 IF=0,436). (download pdf)
- Vesnin A.Y., Fominykh E.A., Two-sided bounds for the complexity of three-dimensional hyperbolic manifolds with geodesic boundary // Proceedings of the Steklov Institute of Mathematics, 2014, V. 286, no. 1, pp. 55 - 64. (WOS: 000343605900004, 2013 IF=0,232). (download pdf)
- Alexandrov A., Mironov A., Morozov A., Morozov A., Towards matrix model representation of HOMFLY polynomials // JETP Letters, 2014, V. 100, no. 4, pp. 297 - 304. (download pdf)
- Morozov A., Morozov A., Morozov A., On possible existence of HOMFLY polynomials for virtual knots // Physics Letters B, 2014, V. 737, pp. 48 - 56. (WOS: 000342757700009, 2013 IF=6,019). (download pdf)
- Dobrynin A.A., Vesnin A.Y., On Deletion-Contraction Polynomials for Polycyclic Chains // Communications in Mathematical and Computer Chemistry, 2014, V. 72, no. 3, pp. 845 - 864. (download pdf)
- Vesnin A.Y., Masley A.V., On Jorgensen numbers and their analogs for groups of figure-eight knot orbifolds // Siberian Mathematical Journal, 2014, V. 55, no. 5, pp. 989 - 1000. (WOS: 000344337300003, 2013 IF=0,296) (download pdf)
- Limonov M.P., A generalization of the Levits theorem about Weierstrass points // Siberian Mathematical Journal, 2014, V. 55, no. 6. (download pdf)
- Mironov A., Morozov A., Morozov A., On colored HOMFLY polynomials for twist knots // Modern Physics Letters A, 2014, V. 29, no. 34, pp. 1450183-1 - 1450183-11. (WOS: 000344748800005, 2013 IF=1,338) (download pdf)
- Sleptsov A., Hidden structures of knot invariants // International Journal of Modern Physics A, 2014, V. 29, no. 29, pp. 1430063-1 - 1430063-85.
- Mironov A., Morozov A., Sleptsov A., Smirnov A., On genus expansion of superpolynomials // Nuclear Physics B, 2014, V. 889, pp. 757–777. (download pdf)
- Bardakov V. G., Vershinin V. V., Wu J., On Cohen braids // Proceedings of the Steklov Institute of Mathematics, 2014, V. 286, no. 1, pp. 16-32. (WOS: 000343605900002, 2013 IF=0,232)
- Alexandrov A., Mironov A., Morozov A., Natanzon S., On KP-integrable Hurwitz functions // Journal of High Energy Physics, 2014, V. 2014, no. 11, Article number 80. (download pdf)
- Arthamonov S., Mironov A., Morozov A., Morozov And., Link polynomial calculus and the AENV conjecture // Journal of High Energy Physics, 2014, V. 4. (download pdf)
- Ham J.-Y. , Mednykh A., Petrov V., Trigonometric identities and volumes of the hyperbolic twist knot cone-manifolds // Journal of Knot Theory and Its Ramifications, 2014, V. 23, no. 12. (download pdf)
- Prasolov M., Rectangular Diagrams of Legendrian Graphs // Journal of Knot Theory and Its Ramifications, 2014, V. 23, no. 13, Article number 1450074. (download pdf)
- Manturov V.O., Ilyutko D.P., Kauffman L.H., Fenn A., Unsolved Problems in Virtual Knot Theory and Combinatorial Knot Theory // Banach Center Publications, 2014, V. 103, P. 9-61. (download pdf)
2015:
- Matveev S.V., Turaev V.G., Dijkgraaf-Witten Invariants over Z(2) for 3-Manifolds // Doklady Mathematics, 2015, V. 91, no. 1, P. 9 - 11.
- Mednykh A.D., Mednykh I.D., Nedela R., A Geneeralization of Hurwitz' Thorem for Groups Acting on a Graph // Doklady Mathematics, 2015, V. 91, no. 1, P. 87 - 90.
- Vesnin A.Y., Turaev V.G., Fominykh E.A., Three-dimensional manifolds with poor spines // Proceedings of the Steklov Institute of Mathematics, 2015, V. 288, P. 29 - 38.
- Abrosimov N.V., Kudina E.S., Mednykh A.D., On the volume of hyperbolic octahedron with 3-symmetry // Proceedings of the Steklov Institute of Mathematics, 2015, V. 288, P. 1 - 9.
- Galakhov D., Melnikov D., Mironov A., Morozov A., Slepcov A., Colored knot polynomials for arbitrary pretzel knots and links // Physics Letters B, 2015, V. 743, P. 71 - 74.
- Kauffman L.H., Manturov V.O., Graphical constructions for the sl(3), C2 and G2 invariants for virtual knots, virtual braids and free knots // Journal of Knot Theory and Its Ramifications, 2015, V. 24, no. 6, Article number 1550031.
- Manturov V.O., Monodromy, Groups, and Picture-Valued Invariants Link // Doklady Mathematics, 2015, V. 91, no. 3, P. 376 - 378.
- Bishler L., Morozov Al., Morozov And., Morozov Ant., Evolution method and HOMFLY polynomials for virtual knots // International Journal of Modern Physics A, 2015, V. 30, no. 14, Article number 1550074.
- Fedorov V.E., Borel L.V., Solvability of loaded linear evolution equations with a degenerate operator at the derivative // St. Petersburg Mathematical Journal, 2015, V. 26, no. 3, P. 487 - 497.
- Vesnin A.Y., Tarkaev V.V., Fominykh A.E., Cusped Hyperbolic 3-Manifolds of Complexity 10 Having Maximum Volume // Proceedings of the Steklov Institute of Mathematics, 2015, V. 289, Suppl. 1, P. 227 - 239.
- Korableva V.V., On Chief Factors of Parabolic Maximal Subgroups of the Group 2E6(q2) // Proceedings of the Steklov Institute of Mathematics, 2015, V. 289, P. 156 - 163.
- Plekhanova M.V., Quasilinear equations that are not solved for the higher-order time derivative // Siberian Mathematical Journal, 2015, V. 56, no. 4, P. 725 – 735.
- Bardakov V.G., Neshchadim M.V., An example of a nonlinearizable quasicyclic subgroup in the automorphism group of the polynomial algebra // Mathematical Notes, 2015, V. 98, no. 2, P. 210 - 215.
- Mironov A., Morozov A., Sleptsov A., Colored HOMFLY polynomials for the pretzel knots and links // Journal of High Energy Physics, 2015, V. 1507, Issue 069.
- Mironov A., Morozov A., Morozov An., Ramadevi P, Vivek K., Colored HOMFLY polynomials of knots presented as double fat diagrams // Journal of High Energy Physics, 2015, V. 7, Issue 109.
- Bardakov V., Gongopadhyay K., Palindromic width of finitely generated solvable groups // Communications in Algebra, 2015, V. 43, P. 4809 – 4824.
- Manturov V.O., Reidemeister Moves and Groups // Journal of Knot Theory and Its Ramnifications, 2015, V. 24, no. 10, Article number 1540006.
- Manturov V.O., One-Term Parity Bracket for Braids // Journal of Knot Theory and Its Ramnifications, 2015, V. 24, no. 10, Article number 1540007.
- Korableva V.V., On the chief factors of maximal parabolic subgroups of twisted classical groups // Siberian Mathematical Journal, 2015, V. 56, no. 5, P. 879 – 887.
- Bardakov V.G., Gongopadhyay K., Singh M., Palindromic automorphisms of free groups // Journal of Algebra, 2015, V. 438, P. 260 - 282.
- Li J.Y., Vershinin V.V., Wu J., Brunnian braids and Lie algebras // Journal of Algebra, 2015, V. 439, P. 270 - 293.
- Bardakov V.G., Bellingeri P., Damiani C., Unrestricted virtual braids, fused links and other quotients of virtual braid groups // Journal of Knot Theory and Its Ramnifications, 2015, V. 24, no. 12, Article number 1550063.
- Morozov A., Morozov And., Popolitov A., On matrix model approach to simplified Khovanov – Rozansky calculus // Physics Letters B, V. 749, P. 309 - 325.
- Mironov A., Morozov A., Morozov An., Sleptsov A., Colored knot polynomials: HOMFLY in representation [2,1] // International Journal of Modern Physics A, 2015, V. 30, no. 26. Article number 1550169.
- Fedorov V.E., Gordievskikh D.M., Plekhanova M.V., Equations in Banach Spaces with a Degenerate Operator under a Fractional Derivative // Differential Equations, 2015, V. 51, no. 10, P. 1360 – 1368.
- Manturov V.O., Nikonov I.M., Homotopical Khovanov homology // Journal of Knot Theory and Its Ramifications, 2015, V. 24, no. 13, Article number 1541003.
- Manturov V.O., Framed 4-valent graph minor theory II: Special minors and new examples // Journal of Knot Theory and Its Ramifications, 2015, V. 24, Article number 1541004.
- Ilyutko D.P., Manturov V.O., A parity map of framed chord diagrams // Journal of Knot Theory and Its Ramifications, 2015, V. 24, no. 13, Article number 1541006.
- Manturov V.O., Nikonov I.M., On braids and groups Gkn // Journal of Knot Theory and Its Ramifications, 2015, V. 24, no. 13, Article number 1541009.
- Manturov V.O., Kim S., The group G2n and invariants of free links valued in free groups // Journal of Knot Theory and Its Ramifications, 2015, V. 24, Article number 1541010.
2016:
- Bardakov V.G., Mikhailov R., Vershinin V.V., Wu J., On the Pure Virtual Braid Group PV3 // Communications in Algebra, 2016, V. 44, no. 3, pp. 1350-1378.
- Mednykh A.D., Nedela R., Harmonic Morphisms of Graphs and the Riemann–Hurwitz Theorem // Doklady Mathematics, 2016, V. 93, no. 1, pp. 23-26.
- Limonov M., Accola theorem on hyperelliptic graphs // Ars Mathematica Contemporanea, 2016, V. 11, pp. 91-99.
- Fedorov V.E., Ivanova N.D., Identification problem for a degenerate evolution equation with overdetermination on the solution semigroup kernel // Discrete and Continuous Dynamical Systems Series S, 2016, V. 9, no. 3, pp. 687-696.
- Plekhanova M.V., Strong solutions of quasilinear equations in Banach spaces not solvable with respect to the highest-order derivative // Discrete and Continuous Dynamical Systems Series S, 2016, V. 9, no. 3, pp. 833-846.
- Morozov A., Morozov And., Popolitov A., On ambiguity in knot polynomials for virtual knots // Physics Letters B, 2016, V. 757, pp. 289-302.
- Natanzon S., Dispersionless 2D Today hierarchy, Hurwitz numbers and Riemann theorem // Journal of Physics: Conference Series, 2016, V. 670, 012036.
- Manturov V.O., An elementary proof of embeddability classic braids to virtual braids // Doklady Mathematics, 2016, V. 94, no. 1, pp. 441-444.
- Bardakov V.G., Jablan S., Wang H., Monoid and group of pseudo braids // Journal of Knot Theory and Its Ramifications, 2016, V. 25, no. 9, Article number 1641002.
- Bardakov V.G., Bellingeri P., On Representations of Braids as Automorphisms of Free Groups and Corresponding Linear Representations // Contemporary Mathematics, 2016, V. 670, P. 285-298.
- Bardakov V.G., Singh M., Extensions and automorphisms of Lie algebras // Journal of Algebra and Its Applications, 2017, V. 16, no. 5.
- Repovs D., Vesnin A., On Gehring–Martin–Tan groups with an elliptic generator // Bull. Aust. Math. Soc., 2016, V. 94, no. 2, pp. 326-336.
- Limonov M., Nedela R., Mednykh A., On discrete versions of two Accola's theorems about automorphism groups of Riemann surfaces // Analysis and Mathematical Physics, doi: 10.1007/s13324-016-0138-4
- Manturov V., New parities and coverings over free knots // Journal of Knot Theory and Its Ramifications, 2016, V. 26, no. 11, Article number 1650077.
- Molnar E., Szirmai J., Vesnin A., Geodesic and Translation Ball Packings Generated by Prismatic Tessellations of the Universal Cover of SL2(R) // Results. Math., Published online: 22 March 2016, DOI 10.1007/s00025-016-0542-y.
- Mednykh A.D., Mednykh I.A., On the Structure of the Jacobian Group for Circulant Graphs // Doklady Mathematics, 2016, V. 94, no. 1, pp. 445–449.
- Matveev S.V., Nabeeva L.R., Tabulating knots in the thickened Klein bottle // Siberian Mathematical Journal, 2016, V. 57, no. 3, pp. 542–548.
- Bardakov V.G., Gongopadhyay K., Neshchadim M.V., Singh M., Palindromic automorphisms of free nilpotent groups // Journal of Pure and Applied Algebra, 2017, V. 221, pp. 316-338.
- Fedorov V.E., Borel L.V., Study of degenerate evolution equations with memory by operator semigroup methods // Siberian Mathematical Journal, 2016, V. 57, no. 4, pp. 704–714.
- Sleptsov A., Vassiliev invariants for pretzel knots // International Journal of Modern Physics A, 2016, V. 31, no. 27, Article number 1650156.
- Vesnin A.Y., Turaev V.G., Fominykh E.A., Complexity of virtual three-dimensional manifolds // Sbornik: Mathematics, 2016, V. 207, no. 11, DOI:10.1070/SM8700.
- King S., Matveev S., Tarkaev V., Turaev V., Dijkgraaf-Witten Z_2-invariants for Seifert manifolds // Journal of Knot Theory and Its Ramifications, 2016, DOI: 10.1142/S0218216517500067.
- Kudina E.S., Mednykh A.D., The asymptotic behavior of the volume of non-Euclidean simplex // Russian Mathematical Surveys (accepted for publication).