Knots and Surfaces - Seifert Surfaces in Algebraic Topology - Lecture 2

This lesson demonstrates an algorithm for constructing orientable Seifert surfaces from knot diagrams, with examples including the trefoil and square knot. It also examines Euler numbers for surfaces with boundary.

Syllabus

Trefoil Knot
Surfaces with boundary
Examples and steps
What happens to the Euler number X if you add a cuff?
Sphere with k cuffs
Siefert surface with d disks & b bands
Siefert surface has d disks and b bands, then;
Problem 25 Determine the Siefert surfaces associated to our knot diagrams for a figure &Knot