Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Graphs and Patterns in Mathematics and Theoretical Physics
 
Edited by: Mikhail Lyubich Stony Brook University, Stony Brook, NY and University of Toronto, Toronto, ON, Canada
Leon Takhtajan Stony Brook University, Stony Brook, NY
Graphs and Patterns in Mathematics and Theoretical Physics
Hardcover ISBN:  978-0-8218-3666-8
Product Code:  PSPUM/73
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9379-1
Product Code:  PSPUM/73.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-3666-8
eBook: ISBN:  978-0-8218-9379-1
Product Code:  PSPUM/73.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Graphs and Patterns in Mathematics and Theoretical Physics
Click above image for expanded view
Graphs and Patterns in Mathematics and Theoretical Physics
Edited by: Mikhail Lyubich Stony Brook University, Stony Brook, NY and University of Toronto, Toronto, ON, Canada
Leon Takhtajan Stony Brook University, Stony Brook, NY
Hardcover ISBN:  978-0-8218-3666-8
Product Code:  PSPUM/73
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9379-1
Product Code:  PSPUM/73.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-3666-8
eBook ISBN:  978-0-8218-9379-1
Product Code:  PSPUM/73.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 732005; 418 pp
    MSC: Primary 81; 57; 18; 53; 55; 37; 17;

    The Stony Brook Conference, "Graphs and Patterns in Mathematics and Theoretical Physics", was dedicated to Dennis Sullivan in honor of his sixtieth birthday. The event's scientific content, which was suggested by Sullivan, was largely based on mini-courses and survey lectures. The main idea was to help researchers and graduate students in mathematics and theoretical physics who encounter graphs in their research to overcome conceptual barriers.

    The collection begins with Sullivan's paper, "Sigma models and string topology," which describes a background algebraic structure for the sigma model based on algebraic topology and transversality. Other contributions to the volume were organized into five sections: Feynman Diagrams, Algebraic Structures, Manifolds: Invariants and Mirror Symmetry, Combinatorial Aspects of Dynamics, and Physics. These sections, along with more research-oriented articles, contain the following surveys: "Feynman diagrams for pedestrians and mathematicians" by M. Polyak, "Notes on universal algebra" by A. Voronov, "Unimodal maps and hierarchical models" by M. Yampolsky, and "Quantum geometry in action: big bang and black holes" by A. Ashtekar.

    This comprehensive volume is suitable for graduate students and research mathematicians interested in graph theory and its applications in mathematics and physics.

    Readership

    Graduate students and research mathematicians interested in graph theory and its applications in mathematics and physics.

  • Table of Contents
     
     
    • Articles
    • Dennis Sullivan — Sigma models and string topology [ MR 2131009 ]
    • Feynman diagrams
    • Michael Polyak — Feynman diagrams for pedestrians and mathematicians [ MR 2131010 ]
    • Dirk Kreimer — Structures in Feynman graphs: Hopf algebras and symmetries [ MR 2131011 ]
    • Algebraic structures
    • Alexander A. Voronov — Notes on universal algebra [ MR 2131012 ]
    • Dmitri Tamarkin and Boris Tsygan — The ring of differential operators on forms in noncommutative calculus [ MR 2131013 ]
    • Vassily Gorbounov, Fyodor Malikov and Vadim Schechtman — Twisted chiral de Rham algebras on $\mathbb {P}^1$ [ MR 2131014 ]
    • Manifolds: Invariants and mirror symmetry
    • R. Kashaev and N. Reshetikhin — Invariants of tangles with flat connections in their complements [ MR 2131015 ]
    • Stavros Garoufalidis and Jerome Levine — Tree-level invariants of three-manifolds, Massey products and the Johnson homomorphism [ MR 2131016 ]
    • Kenji Fukaya — Multivalued Morse theory, asymptotic analysis and mirror symmetry [ MR 2131017 ]
    • Combinatorial aspects of dynamics
    • Robin Forman — Some applications of combinatorial differential topology [ MR 2131018 ]
    • André de Carvalho — Extensions, quotients and generalized pseudo-Anosov maps [ MR 2131019 ]
    • Michael Yampolsky — Unimodal maps and hierarchical models [ MR 2131020 ]
    • Physics
    • Abhay Ashtekar — Quantum geometry in action: Big bang and black holes [ MR 2131021 ]
    • Peter van Nieuwenhuizen — Supersymmetry, supergravity, superspace and BRST symmetry in a simple model [ MR 2131022 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 732005; 418 pp
MSC: Primary 81; 57; 18; 53; 55; 37; 17;

The Stony Brook Conference, "Graphs and Patterns in Mathematics and Theoretical Physics", was dedicated to Dennis Sullivan in honor of his sixtieth birthday. The event's scientific content, which was suggested by Sullivan, was largely based on mini-courses and survey lectures. The main idea was to help researchers and graduate students in mathematics and theoretical physics who encounter graphs in their research to overcome conceptual barriers.

The collection begins with Sullivan's paper, "Sigma models and string topology," which describes a background algebraic structure for the sigma model based on algebraic topology and transversality. Other contributions to the volume were organized into five sections: Feynman Diagrams, Algebraic Structures, Manifolds: Invariants and Mirror Symmetry, Combinatorial Aspects of Dynamics, and Physics. These sections, along with more research-oriented articles, contain the following surveys: "Feynman diagrams for pedestrians and mathematicians" by M. Polyak, "Notes on universal algebra" by A. Voronov, "Unimodal maps and hierarchical models" by M. Yampolsky, and "Quantum geometry in action: big bang and black holes" by A. Ashtekar.

This comprehensive volume is suitable for graduate students and research mathematicians interested in graph theory and its applications in mathematics and physics.

Readership

Graduate students and research mathematicians interested in graph theory and its applications in mathematics and physics.

  • Articles
  • Dennis Sullivan — Sigma models and string topology [ MR 2131009 ]
  • Feynman diagrams
  • Michael Polyak — Feynman diagrams for pedestrians and mathematicians [ MR 2131010 ]
  • Dirk Kreimer — Structures in Feynman graphs: Hopf algebras and symmetries [ MR 2131011 ]
  • Algebraic structures
  • Alexander A. Voronov — Notes on universal algebra [ MR 2131012 ]
  • Dmitri Tamarkin and Boris Tsygan — The ring of differential operators on forms in noncommutative calculus [ MR 2131013 ]
  • Vassily Gorbounov, Fyodor Malikov and Vadim Schechtman — Twisted chiral de Rham algebras on $\mathbb {P}^1$ [ MR 2131014 ]
  • Manifolds: Invariants and mirror symmetry
  • R. Kashaev and N. Reshetikhin — Invariants of tangles with flat connections in their complements [ MR 2131015 ]
  • Stavros Garoufalidis and Jerome Levine — Tree-level invariants of three-manifolds, Massey products and the Johnson homomorphism [ MR 2131016 ]
  • Kenji Fukaya — Multivalued Morse theory, asymptotic analysis and mirror symmetry [ MR 2131017 ]
  • Combinatorial aspects of dynamics
  • Robin Forman — Some applications of combinatorial differential topology [ MR 2131018 ]
  • André de Carvalho — Extensions, quotients and generalized pseudo-Anosov maps [ MR 2131019 ]
  • Michael Yampolsky — Unimodal maps and hierarchical models [ MR 2131020 ]
  • Physics
  • Abhay Ashtekar — Quantum geometry in action: Big bang and black holes [ MR 2131021 ]
  • Peter van Nieuwenhuizen — Supersymmetry, supergravity, superspace and BRST symmetry in a simple model [ MR 2131022 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.