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.pdfQuantum 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.pdfInternet 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.pdfQuantum 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.pdfWe 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 [7] “Modular forms and quantum invariants of 3-manifolds”.

— joint with [9] “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/1098892274Oct 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/461906This 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.pdfbraided fusion category associated to a quantum group of exceptional Lie type at

. subobject of V ⊗ V (with V simple and V ⊗ V multiplicity free). .. [21] V. G.

Turaev, Quantum Invariants of Knots and 3-Manifolds. de Gruyter Studies in Math

-. PDF (Thesis - bibliography)

people.virginia.edu/~vk6e/Localization.pdf

[32] P. Su lkowski, Wall-crossing, free fermions and crystal melting, arXiv:

0910.5485. [50] V. Turaev and O. Viro, State sum invariants of 3-manifolds and

quantum [52] 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.pdfAfter 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.pdfFeb 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.pdfFor 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 [43] in constructing generalizations of the invariants for knots and 3-

manifolds, one Langford [5], 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-th9409028Quantum 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 [9] and

Turaev [24] showed that jZ. . and to start, we define an action of the free group

Free. .. [24] 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.pdfSep 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=3110435225Abstract.

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.pdfMar 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 [45], as

follows. On the Casson Invariant - Institut Fourier

www.lib.csu.ru/vch/358/004.pdfMar 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/documentMar 16, 2014 would not be enough to distinguish a mutant pair, by theorem 3. Gabai [15]

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-s2pdfKNOT 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.pdfA 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.pdfon a research program which aims to equip quantum physics with a tensorial .. [

25] S. Abramsky (2005) Abstract scalars, loops, free traced and strongly [47] 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

[10] 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.pdfQuantum 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- [7] 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