Tuesday Seminar on Topology

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Date, time & place Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.)
Organizer(s) KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya

2018/04/10

17:00-18:30   Room #056 (Graduate School of Math. Sci. Bldg.)
Hisaaki Endo (Tokyo Institute of Technology)
On the Morse-Novikov number for 2-knots (JAPANESE)
[ Abstract ]
Pajitnov, Rudolph and Weber defined the Morse-Novikov number for classical links and studied their undamental properties in 2001. This invariant has been investigated in relation to (twisted) Alexander polynomials and the (twisted) Novikov homology. In this talk, we define the Morse-Novikov number for 2-knots and show its several properties. In particular, we describe its relations to motion pictures and spin constructions for 2-knots. This talk is based on joint works with Andrei Pajitnov (Nantes University).