In the area of geometric topology, we mainly deal with low-dimensional manifolds. Usually low dimension means dimension three or less. 3-dimensional manifold is also closely related to knot theory.

A knot is an embeddd image of a circle in the 3-sphere and a link is an embedded image of a disjoint union of circles in the 3-sphere. In knot theory, we study invariants and various properties of knots and try to classify knots. In the following site, you can see a table of invariants of knots, maintained by Charles Livingston of Indiana Univ. and Jae Choon Cha of Postech.

Here we list related sites about knots and knot theory.

Heegaard splitting

Heegaard splitting is a decomposition of a 3-manifold into handlebodies or compression bodies. "Heegaard" is a name of mathematician who first considered decomposition of 3-manifold. For more information, refer to the following site.

A conference in honor of Martin Scharlemann

And these are links to personal pages.