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Graphs and Patterns in Mathematics and Theoretical Physics
About this Title
Mikhail Lyubich, Stony Brook University, Stony Brook, NY and Leon Takhtajan, Stony Brook University, Stony Brook, NY, Editors
Publication: Proceedings of Symposia in Pure Mathematics
Publication Year:
2005; Volume 73
ISBNs: 978-0-8218-3666-8 (print); 978-0-8218-9379-1 (online)
DOI: https://doi.org/10.1090/pspum/073
ReadershipTable of Contents
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Front/Back Matter
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]