zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Knots and Feynman diagrams. (English) Zbl 0964.81052
Cambridge Lecture Notes in Physics. 13. Cambridge: Cambridge University Press. xii, 259 p. £21.95; $ 34.95/pbk (2000).
This book covers most recent developments which link perturbative quantum field theory via Feynman diagrams to the Hopf algebra structure of renormalization, knot theory, number theory and finally to noncommutative geometry. Each field is introduced by its basic concepts before the relations between them are worked out. The book is well structured and written in a fluent way which helps to digest the “heavy” content. It contains a long list of references.

MSC:
81T18Feynman diagrams
81T15Perturbative methods of renormalization (quantum theory)
81-02Research monographs (quantum theory)
16W30Hopf algebras (assoc. rings and algebras) (MSC2000)
57M25Knots and links in the 3-sphere
11M99Analytic theory of zeta and L-functions
81R50Quantum groups and related algebraic methods in quantum theory
81R60Noncommutative geometry (quantum theory)
81T75Noncommutative geometry methods (quantum field theory)