Low Dimensional Topology and Circle-valued Morse Functions

Explore a conference talk on low dimensional topology and circle-valued Morse functions presented by Mario Eudave-Muñoz from the Universidad Nacional Autónoma de México. Delve into the concept of non almost-fibered knots in the 3-sphere, examining how regular circle-valued Morse functions induce handle decompositions on knot exteriors. Learn about thick and thin surfaces in knot complements, circular thin positions, and their relationship to fibered and almost-fibered knots. Discover new research on hyperbolic genus one knots with multiple disjoint Seifert surfaces, demonstrating that these knots are not almost-fibered. Gain insights into the collaborative work with Araceli Guzman-Tristan, Fabiola Manjarrez-Gutierrez, and Enrique Ramirez-Losada in this 51-minute presentation from the University of Miami.