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Skein Theory and the Quantum A-Polynomial - Part 1

NCCR SwissMAP via YouTube

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Explore the mathematical foundations of skein theory and its connection to quantum A-polynomials in this 55-minute lecture delivered by J. Brown from the University of Edinburgh. Delve into advanced topological concepts as part of the 2025 SCGCS School on Topological Symmetries and Defects in Quantum Field Theory, organized by NCCR SwissMAP. Learn how skein relations provide algebraic tools for studying knot and link invariants, and discover the role of quantum A-polynomials in characterizing these topological structures. Gain insights into the intersection of knot theory, quantum algebra, and mathematical physics through rigorous mathematical exposition suitable for graduate students and researchers in topology and quantum field theory.

Syllabus

Skein theory and the quantum A-polynomial, J. Brown (University of Edinburgh), Part 1

Taught by

NCCR SwissMAP

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