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KNOT THEORY (M2, Kreimer)

Lecture Topic : (Pure Math) KNOT THEORY (M2, Kreimer)

Prerequisites : Algebraic Topology (M1); Knot Theory (M1); Manifold Theory (M1); Quantum Field Theory (QFT) (M1); Hopf Algebras (M2);

Recommended Text(s) :

“Knots and Feynman Diagrams”, Dirk Kreimer,Cambridge University Press, 2000.

Approx price new on Amazon.com (hard copy) : $32

Approx price second hand on Amazon.com (hard copy) : $38

Availability free on eMule.com (e-format) : Yes

eMule search key word(s) : Kreimer, Feynman Diagrams

Lectures and Links :

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Lecture 1  (link)

Ch.1   Introduction

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Lecture 2  (link)

Ch.2   Perturbative Quantum Field Theory

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Lecture 3  (link)

Ch.3   The Hopf Algebra Structure of Renormalization

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Lecture 4 (link)

Ch.4   Rationality : No Knots, No Transcendentals

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Lecture 5  (link)

Ch.5   The Simplest Link Diagrams

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Lecture 6  (link)

Ch.6   Necessary Topics from Knot Theory

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Lecture 7  (link)

Ch.7   Knots to Numbers : (2, 2n-3) Torus Knots and z(2n-3)

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Lecture 8  (link)

Ch.8   One-Loop Words

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Lecture 9  (link)

Ch.9   Euler-Zagier Sums

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Lecture 10  (link)

Ch.10   Knots and Transcendentals

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Lecture 11  (link)

Ch.11   The Four-Term Relation

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Lecture 12  (link)

Ch.12   Hopf Algebras, Non-Commutative Geometry, and What Else?

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