Top > Seminars & Events > Seminars > Volume formulas using the twisted Alexander inv...

Seminars

Volume formulas using the twisted Alexander invariant and the matrix weighted zeta function

Hold Date
2020-11-13 16:30〜2020-11-13 17:30
Place
Zoom Online Seminar
Object person
 
Speaker
Hiroshi GODA (Tokyo University of Agriculture and Technology)

Abstract:
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.


* This seminar is combined with Topology Seminar.