— Geometric Topology

Prerequisites & course information

This version has ended; see updated course, below. Course Description: Topology of two- and three-dimensional manifolds. Surfaces and their diffeomorphisms. Dehn twists. Heegaard surfaces. Theory of 3-dimensional manifolds. Knots and knot theory. Hyperbolic manifolds and geometric structures. Learning Activities: Lecture 3 hour(s), Extensive Problem Solving 1 hour(s). Repeat Credit: May be repeated 1 time(s). Grade Mode: Letter. MAT 216 — Geometric Topology (4 units) Course Description: Topology of two- and three-dimensional manifolds. Surfaces and their diffeomorphisms. Dehn twists. Heegaard surfaces. Theory of 3-dimensional manifolds. Knots and knot theory. Hyperbolic manifolds and geometric structures. Prerequisite(s): MAT 215A . Learning Activities: Lecture 3 hour(s), Extensive Problem Solving 1 hour(s). Enrollment Restriction(s): Open to graduate students; pen to undergraduate students with consent of instructor. Repeat Credit: May be repeated 1 time(s). Grade Mode: Letter. This course version is effective from, and including: Winter Quarter 2027. Learning Activities: Lecture 3 hour(s), Extensive Problem Solving 1 hour(s). Repeat Credit: May be repeated 1 time(s). Grade Mode: Letter. MAT 216 — Geometric Topology (4 units) Course Description: Topology of two- and three-dimensional manifolds. Surfaces and their diffeomorphisms. Dehn twists. Heegaard surfaces. Theory of 3-dimensional manifolds. Knots and knot theory. Hyperbolic manifolds and geometric structures. Prerequisite(s): MAT 215A . Learning Activities: Lecture 3 hour(s), Extensive Problem Solving 1 hour(s). Enrollment Restriction(s): Open to graduate students; pen to undergraduate students with consent of instructor. Repeat Credit: May be repeated 1 time(s). Grade Mode: Letter. This course version is effective from, and including: Winter Quarter 2027.