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Page 1: Maxim Kontsevich- Vassiliev's knot invariants
Page 2: Maxim Kontsevich- Vassiliev's knot invariants
Page 3: Maxim Kontsevich- Vassiliev's knot invariants
Page 4: Maxim Kontsevich- Vassiliev's knot invariants
Page 5: Maxim Kontsevich- Vassiliev's knot invariants
Page 6: Maxim Kontsevich- Vassiliev's knot invariants
Page 7: Maxim Kontsevich- Vassiliev's knot invariants
Page 8: Maxim Kontsevich- Vassiliev's knot invariants
Page 9: Maxim Kontsevich- Vassiliev's knot invariants
Page 10: Maxim Kontsevich- Vassiliev's knot invariants
Page 11: Maxim Kontsevich- Vassiliev's knot invariants
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Hyperbolic Knot Theory JessicaS.Purcell - BYU Mathjpurcell/papers/hyp-knot-theory.pdf · 2014-08-19 · Knot and link invariants are used to prove that two knots or links are distinct,

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arXiv:0805.0339v1 [quant-ph] 3 May 2008 · observables which are quantum knot invariants. We should mention that, if one selects a fixed upper bound non knot complex-ity (i.e., a

Introduction to Geometric Knot Theory 1: Knot invariants ... · Introduction to Geometric Knot Theory 1: Knot invariants defined by minimizing curve invariants Jason Cantarella University

Knot Invariants and M-Theory I: Hitchin Equations, Chern-Simons Actions, and … · 2016-12-15 · Preprint typeset in JHEP style - HYPER VERSION Knot Invariants and M-Theory I: Hitchin

Knot Homology from Refined Chern Simons Theoryhans.math.upenn.edu/StringMath2011/notes/Aganagic_String... · 2011-06-07 · Simons knot invariants associated to the knot K in M and,

VassilievKnot - IHESpagesperso.ihes.fr/~maxim/TEXTS/VassilievKnot.pdf · 2009-09-10 · VASSILIEV'S KNOT INVARIANTS 139 where the sum is taken over all choices of two pairs of points

The Mathematics of Knots - Warwickmaseay/doc/orbital2008.pdf · 2011. 4. 28. · Knot invariants We want something that can be (relatively) easily calculated from a knot diagram,

Introduction to Vassiliev Knot Invariants - CINVESTAVmostovoy/cdbook/cdbook-final-draft.pdf · Introduction to Vassiliev Knot Invariants nal non-copyedited draft ... O. Viro, Goussarov

Quantum Algorithms Lecture #3ias.huji.ac.il/sites/default/files/quantum_algorithms_lecture3.pdf · Knot Invariants Lacking an algorithm for UNKNOT, one can make partial progress with

Introduction - Peoplepeople.maths.ox.ac.uk/lackenby/knotoidsARXIVE.pdf · 2019-10-08 · tools and invariants coming from knot theory. In particular, concepts from geometrisation

Lecture Notes in Mathematics 2069 - Temple Universitydfuter/research/guts-cJP-book.pdf · in the study of knot polynomial invariants (A-orB-adequacy), we derive direct and concrete

QUANDLE COHOMOLOGY AND STATE-SUM INVARIANTS ......proved for a variety of knots and links, and conversely, knot invariants are used to prove non-triviality of cohomology for a variety

Steven K. Winker- Quandles, Knot Invariants and the n-Fold Branched Cover

Generalized Multivariable Alexander Invariants for Virtual ...INTRODUCTION Reading Guide Part I1 of this paper provides an elementary introduction to classical and virtual knot theory

Knot polynomials, homological invariants & topological stringsmember.ipmu.jp/.../2015/25-06-2015-Ramadevi-Pichai.pdf · Knot polynomials, homological invariants & topological strings

An introduction to categorifying quantum knot invariants · An introduction to categorifying quantum knot invariants BEN WEBSTER We construct knot invariants categorifying the quantum

Hopf algebras and invariants of 3-manifoldshomepages.math.uic.edu/~kauffman/HA3M.pdf · braiding element to knot-theoretic braiding element is accomplished via the composi- tion with

Introduction to Vassiliev Knot Invariantsmostovoy/cdbook/cdbook-final-draft.pdfIntroduction to Vassiliev Knot Invariants nal non-copyedited draft S. Chmutov S. Duzhin J. Mostovoy The

Quantum framed knot invariants · Quantum framed knot invariants Marta Catalano July 15, 2015 Abstract In this lecture notes we report a connection between quantum groupsandknottheory,dueandinspiredbyworksofTuraev,Reshetikhin,

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Knot polynomials, homological invariants & topological strings...2015/06/25  · Knot polynomials, homological invariants & topological strings Ramadevi Pichai Department of Physics,

Higher representation theory in algebra and geometry ... et resume… · the construction of knot invariants using this theory. We’ve already discussed one special case of this,

Part III - Advanced Quantum Field Theorydec41.user.srcf.net/notes/III_L/advanced_quantum_field_theory.pdf · QFT is used to study knot invariants, which are ways to assign labels

COCYCLE KNOT INVARIANTS FROM QUANDLE MODULES AND ... · knots and knotted surfaces in state-sum form, called quandl e cocycle (knot) invariants. The quandle cohomology theory is a

Topological invariants of knots: three routes to the ...ucbpeal/alexandermac.pdf · Knots, links and their invariants 1.1 History and knot basics Knots are objects that we are all

Summary - Dipartimento di Matematicamatematica.unipv.it/attach/FBFA5D9FEBE21FDF/Notes... · Over the years mathematicians have proposed a number of ‘knot invariants’ ... of these

WHEELS, WHEELING, AND THE KONTSEVICH INTEGRAL …people.math.gatech.edu/~stavros/publications/wheels.pdf · wheels, wheeling, and the kontsevich integral of the ... proof of theorem

Knots and Electromagnetism - math.leidenuniv.nl · that form knots, as well as invariants from knot theory, have arisen in physical theories. Particularly interesting is the occurrence

Contact Structures and Classifications of Legendrian and ... · such things is by using knot invariants. A knot invariant is a mathematical object associated to a knot, that will

Homological algebra of knots and BPS statesauthors.library.caltech.edu/36874/1/Gukov_2012p125.pdf128 SERGEI GUKOV AND MARKO STO~nC In the case of sl(N) homological knot invariants,

ON JONES KNOT INVARIANTS AND VASSILIEV INVARIANTS...Jones knot invariants and Vassiliev invariants via a substitution t = ex. We show here that this relation can be rearranged into