Circle-valued Morse Functions Courses and Certifications

IMSA

Low Dimensional Topology and Circle-valued Morse Functions

1 review

Explore taut foliations in 3-manifolds with Heegaard genus two, examining the connection between left-orderable fundamental groups and co-orientable taut foliations in closed, orientable, irreducible 3-manifolds.

• YouTube
• 1 hour
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-Valued Morse Functions

Explore thin position theory for knots, links, and graphs, and its applications to width, tunnel number, and bridge number in topology. Learn about "cut"-incompressible surfaces and additivity of knot invariants.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-Valued Morse Functions

Explore Morse normal form for branched surfaces and its application in constructing taut foliations, building on Charles Delman's work. Gain insights into advanced topics in low-dimensional topology.

• YouTube
• 53 minutes
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology & Circle-valued Morse Functions

Explore tangle decompositions in knot theory, focusing on Khovanov homology and immersed curves. Learn how these concepts aid in investigating cosmetic surgery and crossing conjectures.

• YouTube
• 57 minutes
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-valued Morse Functions

Explore representations in Homeo_+(S^1) and their role in verifying left-orderability of 3-manifold groups, with applications to the L-space conjecture and taut foliations in various topological settings.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-valued Morse Functions

Explore the Margulis constant in hyperbolic geometry, its significance, and ongoing research to determine its precise value through computational methods and theoretical analysis.

• YouTube
• 1 hour 1 minute
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-Valued Morse Functions

Exploración de límites en el número de asas de variedades suturadas, utilizando argumentos geométricos y desarrollando una función de número de asas en homología de segundo grado.

• YouTube
• 55 minutes
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-valued Morse Functions

Explore applications of guts in 3-manifolds, including minimal volumes of hyperbolic manifolds and Euler characteristic control in Dehn fillings. Gain insights into advanced topological concepts and their implications.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-Valued Morse Functions

Explore knot complements, Seifert surfaces, and sutured manifolds in low-dimensional topology. Discover unique decompositions and their implications for the Kakimizu complex and Thurston norm.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-valued Morse Functions

Explore forbidden minor multibranched surfaces and critical complexes in 3-sphere embeddings. Analyze K5 × S1 and K3,3 × S1 families, critical complexes, and their properties in low-dimensional topology.

• YouTube
• 59 minutes
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-valued Morse Functions

Explores non almost-fibered knots in 3-sphere, analyzing circular thin positions and Seifert surfaces. Focuses on hyperbolic genus one knots with multiple disjoint Seifert surfaces, demonstrating their complex circular thin positions.

• YouTube
• 51 minutes
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-valued Morse Functions

Explore instanton Floer homology's surgery formula, its applications in computing 3-manifold invariants, and connections to SU(2)-representations of fundamental groups.

• YouTube
• 58 minutes
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-valued Morse Functions

Explore singular fibrations in knot exteriors and their extensions over handlebodies, connecting handle-ribbon knots to circular Morse functions in low-dimensional topology.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-Valued Morse Functions

Explore the Kakimizu complex for genus one hyperbolic knots, examining its structure, dimensions, and examples across various dimensions in 3-sphere topology.

• YouTube
• 54 minutes
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-valued Morse Functions

Explore annular links, double branched covers, and annular Khovanov homology. Discover how these concepts relate to braid closures and the wrapping conjecture in low-dimensional topology.

• YouTube
• 57 minutes
• On-Demand
• Conference Talk