Book contents
- Frontmatter
- Contents
- Acknowledgements
- 1 Introduction
- 2 Perturbative quantum field theory
- 3 The Hopf algebra structure of renormalization
- 4 Rationality: no knots, no transcendentals
- 5 The simplest link diagrams
- 6 Necessary topics from knot theory
- 7 Knots to numbers: (2, 2n – 3) torus knots and ζ(2n – 3)
- 8 One-loop words
- 9 Euler–Zagier sums
- 10 Knots and transcendentals
- 11 The four-term relation
- 12 Hopf algebras, non-commutative geometry, and what else?
- References
- Index
12 - Hopf algebras, non-commutative geometry, and what else?
Published online by Cambridge University Press: 04 August 2010
Book contents
- Frontmatter
- Contents
- Acknowledgements
- 1 Introduction
- 2 Perturbative quantum field theory
- 3 The Hopf algebra structure of renormalization
- 4 Rationality: no knots, no transcendentals
- 5 The simplest link diagrams
- 6 Necessary topics from knot theory
- 7 Knots to numbers: (2, 2n – 3) torus knots and ζ(2n – 3)
- 8 One-loop words
- 9 Euler–Zagier sums
- 10 Knots and transcendentals
- 11 The four-term relation
- 12 Hopf algebras, non-commutative geometry, and what else?
- References
- Index
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- Knots and Feynman Diagrams , pp. 236 - 252Publisher: Cambridge University PressPrint publication year: 2000