Goeritz and Seifert Matrices
摘要
In this lecture, we present two classical concepts introduced in the 1930s: the Goeritz matrix and the Seifert matrix. The first is constructed using the checkerboard coloring of a link diagram and the second using an oriented surface bounded by a link. We discuss several link invariants coming from the matrix including the determinant, the signature, the Alexander-Conway polynomial, and the Tristram-Levine signature.