分野別セミナー

In this talk, we show some volume formulas of knots using the twisted Alexander invariant. Then, we introduce a digraph obtained from an oriented knot diagram, which is used to study the twisted Alexander polynomial of knots. We show that the inverse of the twisted Alexander polynomial of a knot may be regarded as the matrix-weighted zeta function of the digraph. We will discuss a volume formula using the matrix-weighted zeta function of a graph.


※ このセミナーはトポロジー金曜セミナーとの合同セミナーです．