Introduction to Quantum Invariants
of 3-manifolds, Topological Quantum Field Theories and Modular Categories.
Abstract
Index
1. LINKS AND 3-MANIFOLDS AND THEIR INVARIANTS; EXAMPLES
2. TOPOLOGICAL QUANTUM FIELD THEORY: AXIOMATIC DEFINITION, CONSTRUCTION FROM A
3-MANIFOLD INVARIANT
3. MODULAR CATEGORY: DEFINITION, ASSOCIATED TOPOLOGICAL QUANTUM FIELD THEORY
4. EXAMPLES OF CONSTRUCTION FROM SKEIN THEORY AND FROM QUANTUM GROUPS
Lectures
1. Introduction to Quantum Invariants
of 3-manifolds, Topological Quantum Field Theories and Modular Categories.