Low Dimensional Topology and Circle-Valued Morse Functions

Explore a comprehensive lecture on thin position theory and its applications in low-dimensional topology. Delve into Scott Taylor's decade-long research, which extends to knots, links, spatial graphs, and orbifolds. Discover how this theory produces "cut"-incompressible surfaces and its relevance to the additivity and non-additivity of certain knot invariants. Gain insights into the theory's overview and its practical applications in width, tunnel number, and bridge number. Enhance your understanding of handle structures and additivity in the field of low-dimensional topology through this in-depth presentation by Scott Taylor from Colby College and the University of Central Florida.