Quantum Invariants of Knots and 3-manifolds

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Walter de Gruyter, Jan 1, 1994 - 588 pages
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Contents

Introduction
1
Invariants of graphs in Euclidean 3space
17
Operator invariants of ribbon graphs
30
Reduction of Theorem 2 5 to lemmas
49
Notes
71
Proof of Theorem 2 3 2 Action of SL2 Z
84
Computations in semisimple categories
99
Notes
116
Surgeries on shadows
382
Integer shadows
388
Shadows of manifolds
394
Shadows of 3manifolds
400
Shadows of 4manifolds via handle decompositions
410
Thickening of shadows
417
Proof of Theorems 1 5 and 1 7 1 11
427
Notes
434

Isomorphisms of TQFTs
132
Elimination of anomalies
145
Proof of Theorem 1 9
162
Lagrangian relations and Maslov indices
179
Action of the modular groupoid
190
Computations in the renormalized TQFT
207
Unitary TQFT
223
Twodimensional modular functors
236
Weak and mirror modular functors
266
Notes
297
Unimodal categories
310
Geometric approach to 67symbols
331
Simplicial state sums on 3manifolds
345
Comparison of two approaches
361
Shadow links
376
State sum invariants of shadows
444
Invariants of 3manifolds from the shadow viewpoint
450
Proof of Theorem 5 6
463
Invariants of framed graphs from the shadow viewpoint
473
Computations for graph manifolds
484
An algebraic construction of modular categories
493
Ribbon Hopf algebras
500
Modular Hopf algebras
506
Quantum groups with generic parameter
513
A geometric construction of modular categories
518
The matrix S
535
Multiplicity modules
551
Gluing reexamined
565
Subject index
585
Copyright

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Quantum invariants of knots and 3 -manifolds , by vg Turaev, de ...
Quantum invariants of knots and 3-manifolds, by vg Turaev, de Gruyter Studies. in Mathematics, vol. 18, Walter de Gruyter, Berlin, 1994, x + 588 pp., ...
www.ams.org/ bull/ 1996-33-01/ S0273-0979-96-00621-0/ S0273-0979-96-00621-0.pdf

Turaev vg Quantum Invariants of Knots and 3-Manifolds (de Gruyter ...
Book: Turaev vg Quantum Invariants of Knots and 3-Manifolds (de Gruyter, 1994)(KA)(T)(585s)_mdat_.djvu | Library:m_mathematics/md_geometry and ...
lib.org.by/ info/ M_Mathematics/ MD_Geometry%20and%20topology/ MDat_Algebraic%20and%20differential%20topology/ Turaev%20V...

[hep-th/9409028] Quantum Invariants of Knots and 3-Manifolds
Quantum Invariants of Knots and 3-Manifolds. Authors: V. Turaev Comments: 2 pages (Removed because of inappropriateness for e-print archives.) ...
arxiv.org/ abs/ hep-th/ 9409028

Reshetikhin{Turaev invariants of Seifert 3 {manifolds and a ...
ISSN 1472-2739 (on-line) 1472-2747 (printed). 627. Algebraic & Geometric Topology. A. T. G. Volume 1 (2001) 627{686. Published: 30 October 2001 ...
www.emis.de/ journals/ AGT/ ftp/ main/ 2001/ agt-1s32.pdf

Zentralblatt MATH Database 1931 – 2008 0812.57003
Quantum invariants of knots and 3-manifolds. (English). de Gruyter Studies in Mathematics. 18. Berlin: Walter de Gruyter. x, 588 p. DM ...
zmath.impa.br/ cgi-bin/ zmen/ ZMATH/ en/ zmath.html?first=1& maxdocs=3& type=pdf& an=0812.57003& format=complete

[ISI Highly Cited Researchers Version 1.5]
Quantum invariants of knots and 3-manifolds. Studies in Mathematics 18, Walter de Gruyter, 588 p., 1994.. TURAEV, VG. Axioms for topological quantum field ...
hcr3.isiknowledge.com/ formViewCharacteristic.cgi?table=Publication& link1=Biography& id=2812

Front: Author V.Turaev
hep-th/9409028 Quantum Invariants of Knots and 3-Manifolds. V. Turaev. physics.hep-th. [help e-mail] - for questions or comments about the Front ...
front.math.ucdavis.edu/ author/ V.Turaev

Chord diagram invariants of tangles and graphs
[T] vg Turaev, Quantum invariants of knots and 3-manifolds, de Gruyter Studies in Mathematics, vol. 18, Walter de Gruyter & Co., Berlin, 1994. ...
projecteuclid.org/ handle/ euclid.dmj/ 1077231676

Topics in low dimensional topology and Topological Quantum Field ...
[T] V. Turaev: Quantum invariants of knots and 3-manifolds. Walter de Gruyter. [BK] B. Bakalov and A. Kirillov Jr.: Lectures on tensor categories and ...
www.math.ru.nl/ ~mueger/ TQFT/ tqft.html

the classification due to Bala and Carter, and generalized by ...
the more abstruse areas which are the subject of current investigation. rw CARTER. QUANTUM INVARIANTS OF KNOTS AND 3-MANIFOLDS. By vg. TURAEV: ...
blms.oxfordjournals.org/ cgi/ reprint/ 28/ 6/ 669.pdf

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