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KNOTS AND APPLICATIONS – TALK NUMBER 2
Louis Kauffman1
1University of Illinois at Chicago, Chicago, United States

PAPER: 320/Mathematics/Regular (Oral) OS
SCHEDULED: 15:05/Tue. 18 Nov. 2025/Dusit 3

ABSTRACT:

These talks are a short introduction to knot theory from a combinatorial point of view and with an eye towards applications to Natural Science.  The talks are self-contained and form a short introductory course in knot theory.

2. Introduction to the Kauffman bracket polynomial, Many examples. Discussion of other knot polynomials. Relationships with graph theory and with statistical mechanics, state summation models, the Potts model, tensor networks and categories.