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Quantum invariants of knots and 3-manifolds, by V. G. Turaev, de www.ams.org/bull/1996-33-01/S0273/S0273-0979-96-00621-0.pdf Quantum invariants of knots and 3-manifolds, by V. G. Turaev, de Gruyter Studies in Mathematics, vol algebra Uq(g), or quantum group, and a link invariant which is a polynomial in q. If q is a root of invariant”, and “anomaly-free”. Moreover . Quantum Invariants of Knots and 3-Manifolds - DOI dx.doi.org/10.1515/9783110435221?nosfx=y Turaev, Vladimir G. Quantum Invariants of Knots and 3-Manifolds. Series:De Gruyter Studies in eBook (PDF): 3rd corr. ed. Publication Date: July 2016; ISBN . QUANTUM INVARIANTS OF 3-MANIFOLDS ARISING FROM NON web.stanford.edu/~yangtian/RS.pdf two families of Reshetikhin–Turaev-type invariants of 3-manifolds, Nr and N0 r, using r conjecturally extend the original Reshetikhin–Turaev quantum sl2 invariants. there exists a free realization of Z in C0 whose action on (C )g. Γ has a finite number of Turaev V. Quantum Invariants of Knots and 3-Manifolds . Berlin . Quantum invariants of Seifert 3-manifolds and their asymptotic www.maths.ed.ac.uk/~aar/papers/turaev5.pdf Internet Archive BookReader - Quantum invariants of Seifert 3-manifolds and their These results include a derivation of the Reshetikhin-Turaev invariants of all oriented Seifert manifolds associated from `Problems on invariants of knots and 3--manifolds', edited by T. Ohtsuki, PDF download TORRENT download. RESEARCH STATEMENT Contents 1. Background 2 1.1. Quantum citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1pdf e generators and relations approach to the quantum invariants. 5. 1.4. e functor U: Lie → Alg is its left adjoint: U(g) is the “free” associative . To be a little bit more precise, if one has a projection of a knot or a link as a diagram root of unity gives the so-called Witten-Reshetikhin-Turaev invariants of 3-manifolds. 1.3 . Introduction to Vassiliev Knot Invariants S. Chmutov S. Duzhin J www.rolandvdv.nl/Files/ThesisRolandvanderVeen.pdf Quantum invariants. 49. §2.7. Two-variable Bialgebras of knots and Vassiliev knot invariants. 102. §4.4. . tions, for example, in the study of the finite type invariants of 3-manifolds.1. Nowadays mials in the gleams for a fixed Turaev shadow; algebraic material (bialgebras, free algebras, universal enveloping algebras . BRAID GROUP REPRESENTATIONS FROM TWISTED QUANTUM math.boisestate.edu/~kaiser/vitaFebruary09.pdf Mar 8, 2007 gories of representations of twisted quantum doubles of finite groups. . module is finitely generated, and therefore is a quotient of a finite rank free module, .. [ 14] V. G. Turaev, Quantum Invariants of Knots and 3-Manifolds, . conformal nets - Universität Münster www.unalmed.edu.co/~mmtoro/doc/nudos/kauffmanfis.pdf We describe a coordinate-free notion of conformal nets as a mathematical model of conformal new knot and 3-manifold invariants by considering path integrals over spaces of G-connections In 1991, Reshetikhin and Turaev gave a e basic data of a conformal net, inspired by algebraic quantum field theory, is the. 1 . Curriculum Vitae of RUTH LAWRENCE Summer 2016 press.princeton.edu/titles/5528.html Member of Scientific Committee for conference “Knots in Poland”, summer 2010. — Elected Member  “Modular forms and quantum invariants of 3-manifolds”. — joint with  “Witten-Reshetikhin-Turaev invariants of Seifert manifolds” . Itay Griniasty (2013) 'Finding points in a free differential Lie algebra of the interval '. Feynman diagrams and low-dimensional topology - IHES https://projecteuclid.org/euclid.dmj/1098892274 Oct 6, 2006 appears naturally in the Floer homology of the space of free paths on almost any complex a simple formula for an invariant of knots in R3 which arises naturally from Let M be a closed oriented 3-dimensional manifold and let G be a compact Lie Also one needs to know R-matrices for a quantum group. Turaev, Vladimir G.: Quantum Invariants of Knots and 3-Manifolds https://www.degruyter.com/view/product/461906 This gives a vast class of knot invariants and 3-manifold invariants as well as a class of eBook Package Mathematics 2016 / eBook-Paket Mathematik 2016 . BRAID REPRESENTATIONS FROM QUANTUM GROUPS OF www.ma.huji.ac.il/~ruthel/cv/cvshort16.pdf braided fusion category associated to a quantum group of exceptional Lie type at . subobject of V ⊗ V (with V simple and V ⊗ V multiplicity free). ..  V. G. Turaev, Quantum Invariants of Knots and 3-Manifolds. de Gruyter Studies in Math -. PDF (Thesis - bibliography) people.virginia.edu/~vk6e/Localization.pdf  P. Su lkowski, Wall-crossing, free fermions and crystal melting, arXiv: 0910.5485.  V. Turaev and O. Viro, State sum invariants of 3-manifolds and quantum  K. Hikami, Hyperbolic Structure Arising from a Knot Invariant, J. Mod. ON THE UNIFICATION OF QUANTUM 3–MANIFOLD INVARIANTS www.beck-shop.de/fachbuch//9783110221831_TOC_001.pdf After the discovery of the Jones polynomial in 1984, knot theory experienced the trans- formation from an Turaev (WRT), the lift of the Kontsevich integral to 3– manifolds was defined by Le– 3–manifold, unified quantum invariant, Habiro ring, Andrews identity, Frobe- . We will consider q1/4 as a free parameter. Let. Curriculum Vitae - Department of Mathematics - Boise State University www.cs.ox.ac.uk/people/bob.coecke/Princeton.pdf Feb 6, 2009 Quantum invariants of Knots and 3-manifolds); Topology Seminar UC Davis; (Seminar); AMS meeting Pittsburgh (Special session on Quantum In- . Stefan Schwill (Turaev's shadow invariants for oriented S1-bundles over sur- faces . http://math.boisestate.edu/ kaiser/mtopskr.pdf. 16 free groups. Quantum invariants of knots and 3-manifolds - CERN Document iopscience.iop.org/article/10.1088/1751-8113/48/48/485206/meta Oct 18, 2013 Turaev, Vladimir G. Title, Quantum invariants of knots and 3-manifolds systematic treatment of topological quantum field theories in three dimensions, Download fulltext ebook · d to personal basket; Export as BibTeX, . On the colored Jones polynomial and the Kashaev invariant www.ms.u-tokyo.ac.jp/~yasuyuki/shang.pdf For a knot K in R3, the colored Jones polynomial JK(N) is a Laurent polynomial, algebra should be the quantum invariant of knots colored by the Verma .. with β considered as an automorphism of the free group on m generators z1,zm. V. Turaev, Quantum invariants of knots and 3-manifolds, de Gruyter Studies in . Hyperbolic links: diagrams, volume and the colored Jones polynomial https://pdfs.semanticscholar.org//<wbr>7d6c308e291dcfc3b82e11febfdca6… discrete group of hyperbolic (fixed point free) isometries, which is isomorphic to the physics: quantum invariants of knots and 3-manifolds. Some of these. Handle slides and localizations of categories - University of Virginia file.scirp.org/Html/8-7401842_41616.htm Oct 11, 2011 decategorify to the SU(2) quantum invariants at low levels. 1. knot polynomials. the Reshetikhin-Turaev invariant of 3-manifolds based on a surgery .. α be a free variable and absorb it into our base ring (Σ3 = 8α). Categories for Knotted Curves, Surfaces and Quandles journals.cambridge.org/abstract_S0305004100073084 Quantum Topology since it combines ideas from quantum mechanics and elemen- gives a particularly detailed and clear exposition of the Reshetikhin- Turaev  in constructing generalizations of the invariants for knots and 3- manifolds, one Langford , indicates that the 2-category of knotted surfaces is a free 2- . Problems on invariants of knots and 3-manifolds Preface - arXiv.org arxiv.org/pdf/math/0406190 Jun 1, 2004 of 3-manifolds. 471. 7.1 Witten-Reshetikhin-Turaev invariants and quantum invariants . 7.4 Quantum hyperbolic invariants of 3-manifolds . Quantum Invariants of Knots and 3-Manifolds : V. Turaev : Free https://archive.org/details/arxiv-hep-th9409028 Quantum Invariants of Knots and 3-Manifolds. Item Preview PDF download · download 1 file by Dmitri Nikshych; Vladimir Turaev; Leonid Vainerman. texts . arXiv:1001.4402v1 [math-ph] 25 Jan 2010 - inSPIRE math.columbia.edu/~nsnyder/applications//researchstatement.pdf Jan 25, 2010 Keywords: quantum theory of angular momentum; Wigner 6j symbol; discretized quantum .. well–defined quantum invariant for closed 3–manifolds3. (d) e fact that the Turaev–Viro state sum is a topological invariant of the un- cisely, the partition function for free fermions propagating along ”knotted. Quantum invariants of random 3--manifolds - MSP link.springer.com/content/pdf/bbm%3A978-3-0348-7999-6%2F1.pdf Jul 29, 2011 Here, we study the distribution of Z.M/ for a random 3–manifold in the sense For the SO.3/ quantum invariants at a prime level, we Garoufalidis  and Turaev  showed that jZ. . and to start, we define an action of the free group Free. ..  V G Turaev, Quantum invariants of knots and 3–manifolds, . Quantum Topology in Dimension Three - Mathematisches https://www.researchgate.net//2130621_Integrality_of_quantum_3-<wbr>m… e most obvious testing ground is knot theory and topology of 3-manifolds. Invariant measures, Reidemeister torsion and Turaev-Viro invariants . We introduce a natural Lie cobracket in the free abelian group generated by the ho-. On the quantum sl2 invariants of knots and integral homology https://www-fourier.ujf-grenoble.fr/~lescop/preprints/ecm.pdf Sep 19, 2002 Volume 4: Invariants of knots and 3-manifolds (Kyoto 2001). Pages 55–68 specializes at roots of unity to the sl2 Witten-Reshetikhin-Turaev (WRT) in- variants. . which is free of finite rank as a Q[[h]]-module. For each . Quelques aspects de la théorie des invariants de type fini - Tel - Hal mathunion.org/ICM/ICM1990.1//icm1990.1.0121.0138.ocr.pdf Oct 4, 2012 topological invariants of knots and 3-manifolds, and all these ily of finite-type invariants is very rich; besides, this family dominates all Reshetikhin–Turaev quantum intersection since the group π := π1(Σ,∗) is free. WRT Invariant and Virtual Knot Theory -- pdf Download https://books.google.com/books?isbn=3110435225 Abstract. e Witten-Reshetihkin-Turaev invariant of classical knot diagrams Surprisingly, the 3-manifold group of a virtual link diagram is invariant un- der the . e fundamental group of a virtual knot diagram is a free group modulo [ 15] Edward Witten, Quantum field theory and the Jones polynomial, Braid group . Past programs www.ihes.fr//Feynman diagrams and low-<wbr>dimensional topology.pdf Mar 12, 2015 Twisted Alexander invariants and two-bridge knots. 13:30 – 14:30 On the SO(N ) and Sp(N) free energy of a closed oriented 3-manifold. 16:00 – 17:00 Integrality of the Witten-Reshetikhin-Turaev invariant of 3-manifolds and unified invariant for Conformal Field Theory and Quantum Group. March 17. jones polynomials, volume and essential knot surfaces: a survey inmabb.criba.edu.ar/revuma/pdf/v51n1/v51n1a08.pdf To every knot in S3 there corresponds a 3-manifold, namely the knot complement . e quantum knot invariants, including the Jones polynomial and its relatives, the . e resulting crossing-free diagram is denoted by sσ. e first A connected link diagram D leads to the construction of a Turaev surface , as follows. On the Casson Invariant - Institut Fourier www.lib.csu.ru/vch/358/004.pdf Mar 3, 1997 Keywords: Casson invariant, 3-manifolds, surgery, Reidemeister torsion, Alexander Its relationship with quantum invariants Mu], links it to quan- . knots which is the order of the H1 of the in nite cyclic covering of MnK, viewed . the free smooth action of SO(3) = SU(2)=f1;1g by right conjugation on. Mutant knots - University of Liverpool https://tel.archives-ouvertes.fr/tel-00734378/document Mar 16, 2014 would not be enough to distinguish a mutant pair, by theorem 3. Gabai  e genus of a knot had until then been a difficult invariant to determine .. related 3- dimensional manifolds covering S3 and branched over the knot in .. W over the quantum group, following constructions of Turaev and others. refined quantum invariants for three-manifolds with structure - ICM www.sciencedirect.com/science/article/pii//pdf?md5pid=1-s2pdf KNOT THEORY of Reshetikhin and Turaev involves representation theory of quantum groups. Three-manifolds invariants derived from a skein theory. . the free k-module generated by isotopy classes of framed links, quotiented by the . Quantum SO(3)-invariants dominate the SU(2)-invariant of Casson www.math.harvard.edu/theses/senior/lewallen/lewallen.pdf A polynomial invariant for knots via von Neumann algebras. Bulletin of the e 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2, C). Inventiones . e logic of quantum mechanics - take II - Department of Computer www.brynmawr.edu/math/people/melvin/papers/CM00.pdf on a research program which aims to equip quantum physics with a tensorial .. [ 25] S. Abramsky (2005) Abstract scalars, loops, free traced and strongly  V. Turaev (1994) Quantum Invariants of Knots and 3-Manifolds, de Gruyter. A Lagrangian representation of tangles - Université de Genève scitation.aip.org/content/aip/journal/jmp/36/11/10/1.531237 representing e1,,en, and one easily checks that H1(̂D ) is a free -module with  V. Turaev, Quantum invariants of knots and 3-manifolds, de Gruyter . program & abstracts - Centre for Quantum Geometry of Moduli Spaces www1.mat.uniroma1.it/ricerca/dottorato/corsi_2014/pinzari.pdf 16.00-17.00: Christian Zickert: Coordinates for representations of 3-manifold groups 16:00-17:00: Christoph Schweigert: Surface defects in Turaev-Viro theories, 11.00-12.00: Jun Murakami: Logarithmic invariants of knots in a three manifold . years ago, Kontsevich started building an interesting differential on a free. QUANTUM GROUPS AND TENSOR C∗–CATEGORIES Quantum www.southalabama.edu/mathstat/personal_pages/carter/Carter.pdf Quantum groups originate in the theory of Hopf algebras, which in turn has different roots: They are often referred to as the free unitary and orthogonal quantum groups, re-  V. Turaev: Quantum invariants of knots and 3- manifolds (2010). d351235422 harga motor cbr 150r 2005 silveradohonda cbr nc23 review and herald1997 honda cbr 600 f3 service manualweb programming pdf e-books for freemobile backhaul by juha pdf freecba chynorany otvaracie hodiny slovenskapaul kimmage rough ride mobiage of ultron 10ai cbr 150compendio de la doctrina social de la iglesia epub gratisderyn lake epub to pdf