Геометрия и комбинаторика виртуальных узлов (1097523), страница 63
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(1991), The theory of multidimensional integrablehamiltonian systems (with arbitrary many degrees of freedom). Moleulartable of all integrable systems with two degrees of freedom, Adv. Sov.Math, 6, pp. 1-35.[ÔÌ℄ Ôîìåíêî, À.Ò., Ìàòâååâ, Ñ.Â. (1991), Àëãîðèòìè÷åñêèå è êîìïüþòåðíûå ìåòîäû â òðåõìåðíîé òîïîëîãèè, Ì., Èçä. ÌÓ.[ÔÁØ℄ Òîïîëîãè÷åñêèå ìåòîäû â òåîðèè ãàìèëüòîíîâûõ ñèñòåì (1998), ïîäðåä. À.Ò.Ôîìåíêî, À.Â.Áîëñèíîâà, À.À.Øààðåâè÷à., Ì, Ôàêòîðèàë.[FJK℄ Fenn, R., Jordan-Santana, M. and Kauman, L.H.
(2004), Biraks andvirtual links www.maths.sussex.a.uk/Reports/TAGG/TAGG02-01.ps,Topology & Appl., 145, pp. 157-175.[FKM℄ Fenn, R.A, Kauman, L.H, and Manturov, V.O. (2005), VirtualKnots: Unsolved Problems, Fundamenta Mathematiae, Proeedings ofthe Conferene Knots in Poland-2003, 188, pp. 293-323.[FM℄ Flemming, Th., Mellor, B., Virtual Spatial Graphs, arXiv:math.GT/0510158.[FRR℄ Fenn, R.A., Rimanyi, P. and Rourke, C.P.
(1997), The braidpermutation Group, Topology, 36(1), pp. 123135.[FRS1℄ Fenn,R.A., Rourke, C.P., Sanderson, B. (1995), Truns and lassifyingspaes, Applied Categorial Strutures 3 pp. 321356.[FRS2℄ Fenn,R.A., Rourke, C.P., Sanderson, B. (1993), An introdution toSpeies and the Rak Spae Topis in Knot Theory: Kluwer AademiPublishers, pp. 3355Ëèòåðàòóðà378[FT℄ Fuhs, D. and Tabahnikov, S. (1997), Invariants of Legendrian andtransverse knots in the standard ontat spae, Topology, 36, pp. 10251053.[Ga℄ Garoufalidis, S.
(2004), A onjeture on Khovanov's invariants,Fundamenta Mathematiae, 184, pp. 99-101.[Gar℄ Garside, F.A., The braid group and other groups (1969), Quart.Oxford, 20, (78), pp. 235-254.J. Math.[Gau℄ Gauss, C.F. (1877), Zur Mathematishen Theorie der eletrodynamishenWirkungen, Werke Koningl. Gesell. Wiss. Gottingen 5 (1877), s. 605.[GKZ℄ Mo-Lin Ge, L.H. Kauman, Yong Zhang, Virtual Extension ofTemperley-Lieb Algebra, arXiv:math-ph /0610052 v1 22 Ot 2006[GL℄ Gordon., C. MA, and Lueke, J.
(1989), Knots are determined by theiromplements, J. Amer. Math. So., 2 (2), pp. 371415.[Gold℄ Goldman, W. (1986), Invariant funtions on Lie groups and Hamiltonianows of surfae group representations, Inventiones Mathematiae, 85, pp.263-302.[Goryu℄ Goryunov, V. (1998), Vassilive type invariants in Arnold's J + -theoryof plane urves without diret self-tangenies, Topology 37, pp. 603-620.[GPV℄ Goussarov M., Polyak M., and Viro O.(2000), Finite type invariants oflassial and virtual knots, Topology 39, pp. 10451068.[óñ℄ óñàðîâ, Ì.Í.
(1991), Íîâàÿ îðìà ïîëèíîìà Äæîíñà-Êîíâåÿ äëÿîðèåíòèðîâàííûõ çàöåïëåíèé. Çàï. íàó÷íûõ ñåìèíàðîâ ËÎÌÈ, 193,åîìåòðèÿ è òîïîëîãèÿ, 1, ññ. 49.[H℄Hrenein, D., On Filamentations and Virtual Knot Invariant, Thesiswww.math.ui.edu/ ∼dhren/FINALCOPY.ps.[Hak℄ Haken, W. (1961), Theorie der Normalahen,pp. 245375.Ata Mathematiae105,[Hem℄ Hemion, G. (1992), The lassiation of knots and 3dimensional spaes,(Oxford: Oxford Univ. Press).Ëèòåðàòóðà379[HL℄ Hass, J., Lagarias, J.
(2001), The number of Reidemeister moves neededfor unknotting, J. Amer. Math. So., 14 (2), pp. 399-428.[HK℄ Hrenein, D. and Kauman, L.H. (2003), On Filamentations and VirtualKnots, Topology and its Appliations, 134, pp. 2352.[HOMFLY℄ Freyd, P., Yetter, D., Hoste, J., Likorish, W.B.R, Millett, K.C.and Oneanu A. (1985), A new polynomial invariant of knots and links,Bull. Amer. Math. So. 12, pp. 239246.[Hur℄ Hurwitz A (1891).Verzweigungspunkten.UberMath.Riemannshe FlaheAnn., 39, pp. 1-61.mitgegebenen[IKK℄ Ishii, A., Kamada, N., Kamada, S. (2006), The virtual magnetiKauman braket skein module and skein relations for the f-polynomial,available at http://www4.on.ne.jp/ ∼xyz/LvA03.pdf[Ja℄ Jaobsson, M.
(2002), An invariant of link obordisms from Khovanov'shomology theory, arXiv:mat.GT/0206303 v1.[Joh℄ Johannson, K.(1979), Homotopy equivalenes of 3-manifolds withboundaries, Leture Notes in Mathematis, 761, (Berlin: Springer-Verlag).[Jon1℄ Jones, V. F. R. (1985), A polynomial invariant for links via Neumannalgebras, Bull. Amer. Math. So., 129, pp. 103112.[JKS℄ Jaeger, F., Kauman, L.H., and H. Saleur (1994), The ConwayPolynomial in S 3 and Thikened Surfaes: A new DeterminantFormulation, J. Combin.
Theory. Ser. B., 61, pp. 237-259.[Jon2℄ Jones, V. F. R. (1987), Heke algebra representations of braid groupsand link polynomials, Annals of Mathematis, 126, pp. 335388.[Joy℄ Joye D. (1982), A lassifying invariant of knots, the knot quandle,Journal of Pure and Applied Algebra, 23 (1), pp. 3765.[Kad℄ Kadokami, S. (2003), Deteting non-triviality of virtual links, JournalKnot Theory and Its Ramiations, 6, pp. 781-819.of[Kadi℄ Kadison, L.
(1999), New examples of Frobenius extensions, UniversityLeture series, AMS.Ëèòåðàòóðà380[Kam.N1℄ Kamada, N. (2002), On the Jones polynomial of hekerboardolorable virtual knots, Osaka Journal of Mathematis, 39, (2), pp. 325333.[Kam.N2℄ Kamada, N. (2005), A relation of Kauman's f -polynomials ofvirtual links, Topology and Its Appliations, 146-147, pp.123-132.[Kam℄ Kamada, S.
(2000), Braid presentation of virtual knots and welded knots,arXiv:math. GT/0008092 v1, 2000.[Kau1℄ Kauman, L.H. (1987),University Press).On Knots,[Kau2℄ Kauman, L.H. (1991),Sienti).Knots(Annals of Math Studies, PrinetonandPhysis,(Singapore: World[Kau3℄ Kauman, L.H. (1987), State Models and the Jones Polynomial,Topology, 26 (1987), pp.
395407.[Kau4℄ Kauman, L.H. (1983), Combinatoris and knot theory,Mathematis, 20, pp. 181200.Contemporary[Kau5℄ Kauman, L.H. (2003), e-mail to the author, May, 2003.[Kau6℄ Kauman, L.H. (1973), Link manifolds and periodiity,Math. So., 79, pp. 570-573[Kau7℄ Kauman, L. H. (1999), Virtual knot theory,Combinatoris, 20(7), pp. 662690.Bull. Amer.European Journal of[Kau8℄ Kauman, L.H.
(2001), Deteting virtual knots, Atti.Univ. Modena, Supplemento al vol. IL, pp. 241-282.Sem. Math. Fis.,[Kau9℄ Kauman, L.H.., Diagrammati Knot Theory, in preparation.[Kau10℄ L. H. Kauman (2004), A Self-Linking Invariant of Virtual Knots.Fundamenta Mathematiae, vol. 184, pp. 135-158.[Kau1℄ Kauman, L.
H. (1997), Virtual Knots , talks at MSRI Meeting, January1997 and AMS meeting at University of Maryland, College Park, Marh1997.Ëèòåðàòóðà381[Kh℄ Khovanov, M. (1997), A ategoriation of the Jones polynomial,Math. J,101 (3), pp.359-426.Duke[Kh1℄ Khovanov, M. (2002) A funtor-valued invariant of tangles, Algebr.Geom.
Topol. 2, pp. 665741 (eletroni), arXiv:math.QA/0103190.[Kh2℄ Khovanov, M. (2004), Link homology and Frobenius extensions,Arxiv.Math:GT/0411447[Kh3℄ Khovanov, M. (2005), Categoriations of the olored Jones polynomialJournal of Knot Theory and Its Ramiations, 14 (1), pp. 111-130.[KhR1℄ Khovanov, M., Rozansky, L., Matrix Fatorizations and Link Homology,Arxiv.Math:GT/0401268[KhR2℄ Khovanov, M., Rozansky, L.,Matrix Fatorizations and Link HomologyII, Arxiv.Math:GT/0505056[KhR3℄ Khovanov, M., Rozansky, L., Virtual rossings, onvolutionsand a ategoriation of the SO(2N ) Kauman polynomial,Arxiv.Math:GT/0701333[KK℄ Kamada, N.
and Kamada, S. (2000), Abstrat link diagrams and virtualknots, Journal of Knot Theory and Its Ramiations, 9 (1), pp. 93109.[KL℄ Kauman, L.H., Lambropoulou, S. (2004), Virtual braids,Mathematiae, vol. 184, pp. 159-186.Fundamenta[KL2℄ Kauman, L.H., Lambropoulou, S. (2006), Virtual braids and the LMove, J. Knot Theory Ramiations 15, No. 6, 773-811.[KNS℄ Kamada, N., Nakabo, S. and Satoh, S. (2002), A virtualized skeinrelation for Jones polynomial, Illinois Jornal of Mathematis, 46 (2), pp.467-475.[Kon℄ Kontsevih, M. (1993), Vassiliev's knot invariants,16(2) (1993), pp.
137150.Adv. in Soviet Math.,[Kra℄ Krammer, D. (2002), Braid groups are linear, Ann.131156.of Math.,2 (155), pp.Ëèòåðàòóðà382[KR℄ Kauman, L.H. and Radford, D. (2002), Bi-Oriented Quantum Algebrasand a Generalized Alexander Polynomial for Virtual Links, AMSContemp. Math, 318, pp. 113140.[Kup℄ Kuperberg, G. (2002), What is a Virtual Link?, www.arXiv.org, mathGT/0208039, Algebrai and Geometri Topology, 2003, 3, 587-591.[Ëàí℄ Ëàíäî, Ñ.Ê. (2006), J -èíâàðèàíòû îðíàìåíòîâ è îñíàùåííûíå õîðäîâûå äèàãðàììû, Ôóíêöèîíàëüíûé àíàëèç è åãî ïðèëîæåíèÿ, 40 (1),ññ. 1-13.[Lee1℄ Lee, E. S.
(2002) The support of the Khovanov's invariants for alternatingknots, arXiv: math.GT/0201105.[Lee2℄ Lee, E.S. (2003) On Khovanov invariant for alternating links, arXiv:math.GT/0210213.[Lieb℄ Lieberum, J. (2004), Universal Vassiliev invariants of Links in Coveringsof 3-manifolds, Journal of Knot Theory and Its Ramiations, 13 (4), pp.515-556.[LM℄ Lovasz, L., Marx, M., A forbidden substruture haraterization of Gaussodes, Ata Si. Math. (Szeged) 38 (1976), no.
12, 115119, short version:Bull. Amer. Math. So. 82 (1976), no. 1, 121122.[Low℄ Lowrane, A., Heegaard-Floer Homology and Turaev genus, arxiv: math.GT/0709.0720[Mnh℄ Manhon, P.M. (2004), Extreme oeients of the Jones polynomialand the graph theory, Journal of Knot Theory and Its Ramiations,13,N. 2, pp.
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