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Quantum invariants of knots and 3-manifolds, by V. G. Turaev, de
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
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
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
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
10Heartse generators and relations approach to the quantum invariants. 5. 1.4. 10Heartse
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
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
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
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 10Heartse
basic data of a conformal net, inspired by algebraic quantum field theory, is the. 1
 . Curriculum Vitae of RUTH LAWRENCE Summer 2016
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
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
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
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). .. [21] V. G.
Turaev, Quantum Invariants of Knots and 3-Manifolds. de Gruyter Studies in Math
-. PDF (Thesis - bibliography)
[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.
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
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 . kaiser/mtopskr.pdf. 16 free groups. Quantum invariants of knots and 3-manifolds - CERN Document
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 · ADiamondsd to personal basket; Export as BibTeX, . On the colored Jones polynomial and the Kashaev invariant
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<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
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
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-&nbsp;. Problems on invariants of knots and 3-manifolds Preface -
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
Quantum Invariants of Knots and 3-Manifolds. Item Preview PDF download &middot;
download 1 file by Dmitri Nikshych; Vladimir Turaev; Leonid Vainerman. texts&nbsp;. arXiv:1001.4402v1 [math-ph] 25 Jan 2010 - inSPIRE
Jan 25, 2010 Keywords: quantum theory of angular momentum; Wigner 6j symbol; discretized
quantum .. well–defined quantum invariant for closed 3–manifolds3. (d) 10Heartse
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
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,&nbsp;. Quantum Topology in Dimension Three - Mathematisches<wbr>m…
10Heartse 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
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&nbsp;. Quelques aspects de la théorie des invariants de type fini - Tel - Hal
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
Abstract. 10Heartse Witten-Reshetihkin-Turaev invariant of classical knot diagrams
Surprisingly, the 3-manifold group of a virtual link diagram is invariant un- der the
. 10Heartse fundamental group of a virtual knot diagram is a free group modulo [
15] Edward Witten, Quantum field theory and the Jones polynomial, Braid group&nbsp;. Past programs 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
To every knot in S3 there corresponds a 3-manifold, namely the knot complement
. 10Heartse quantum knot invariants, including the Jones polynomial and its relatives,
the . 10Heartse resulting crossing-free diagram is denoted by sσ. 10Heartse first A
connected link diagram D leads to the construction of a Turaev surface [45], as
follows. On the Casson Invariant - Institut Fourier
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
Mar 16, 2014 would not be enough to distinguish a mutant pair, by theorem 3. Gabai [15] 10Heartse
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
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&nbsp;. Quantum SO(3)-invariants dominate the SU(2)-invariant of Casson
A polynomial invariant for knots via von Neumann algebras. Bulletin of the 10Heartse
3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2, C). Inventiones&nbsp;. 10Heartse logic of quantum mechanics - take II - Department of Computer
on 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
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&nbsp;. program &amp; abstracts - Centre for Quantum Geometry of Moduli Spaces
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
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- [7] V. Turaev: Quantum invariants of knots and 3-
manifolds (2010). d351235422
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