I LECTURES - Banff NATO ASI Physics, Geometry & Topology.- Field Theory Methods and Strongly Correlated Electrons.- Braid Statistics in Three-Dimensional Local Quantum Theory.- On the Algebraic Structure of the BRST Symmetry.- Black Hole Quantization and a Connection to String Theory.- An Introduction to General Topology and Quantum Topology.- Topics in Planar Physics.- to Conformal Field Theory and Infinite Dimensional Algebras.- Lectures on RCFT.- Chern-Simons Gauge Theory and the Spin-Statistics Connection in Two Dimensional Quantum Mechanics.- Yang-Baxter Algebras, Integrable Theories and Quantum Groups.- Symmetry and Functional Integration.- Topological Aspects of the Quantum Hall Effect.- II SEMINARS - Workshop on Physics, Braids & Links.- The Nonabelian Chern-Simons Term with Sources and Braid Source Statistics.- The Quantum Group Method of Quantising the Special Linear Group SL(2,C).- 2+1 Dimensional Quantum Gravity and the Braid Group.- Finite Renormalization of Chern-Simons Gauge Theory.- A New Family of N-State Representations of the Braid Group.- Link Polynomials and Solvable Models.- Integrable Restrictions of Quantum Soliton Theory and Minimal Conformal Series.- Tangles, Links and Twisted Quantum Groups.- Participants (Group photo, pg 656).
I LECTURES - Banff NATO ASI Physics, Geometry & Topology.- Field Theory Methods and Strongly Correlated Electrons.- Braid Statistics in Three-Dimensional Local Quantum Theory.- On the Algebraic Structure of the BRST Symmetry.- Black Hole Quantization and a Connection to String Theory.- An Introduction to General Topology and Quantum Topology.- Topics in Planar Physics.- to Conformal Field Theory and Infinite Dimensional Algebras.- Lectures on RCFT.- Chern-Simons Gauge Theory and the Spin-Statistics Connection in Two Dimensional Quantum Mechanics.- Yang-Baxter Algebras, Integrable Theories and Quantum Groups.- Symmetry and Functional Integration.- Topological Aspects of the Quantum Hall Effect.- II SEMINARS - Workshop on Physics, Braids & Links.- The Nonabelian Chern-Simons Term with Sources and Braid Source Statistics.- The Quantum Group Method of Quantising the Special Linear Group SL(2,C).- 2+1 Dimensional Quantum Gravity and the Braid Group.- Finite Renormalization of Chern-Simons Gauge Theory.- A New Family of N-State Representations of the Braid Group.- Link Polynomials and Solvable Models.- Integrable Restrictions of Quantum Soliton Theory and Minimal Conformal Series.- Tangles, Links and Twisted Quantum Groups.- Participants (Group photo, pg 656).
Application of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects in condensed matter physics, cosmology, gravity and particle physics. This...
The book explains concepts and ideas of mathematics and physics that are relevant for advanced students and researchers of condensed matter physics. With this aim, a brief intuitive introduction to...
Although contact geometry and topology is briefly discussed in V I Arnol'd's book "Mathematical Methods of Classical Mechanics "(Springer-Verlag, 1989, 2nd edition), it still remains a domain of...
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