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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 Mathematical Physics Seminar.