Institute of Mathematics for Industry

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Characterizations of graph manifolds by simple fold maps into the plane


Hold Date 2021-12-24 16:00~2021-12-24 17:00

Place IMI Auditorium (W1-D-413), also will be live-streaming by Zoom

Object person  

Speaker Naoki Kitazawa (Kyushu University)

Abstract:
The class of graph manifolds is an important class of 3-dimensional closed and orientable manifolds. They cannot be hyperbolic. On the other hand, manifolds such as Seifert manifolds are graph manifolds. This class was shown to be characterized as 3-dimensional closed and orientable manifolds admitting simple fold maps into the plane by Osamu Saeki (Kyushu Univ.) in 1996. Simple fold maps are natural higher dimensional variants of geneirc Morse functions.
Recently, we have obtained some new characterizations of the class and subclasses of graph manifolds by suitable subclasses of these maps. In this talk we present them. This talk contains a joint work with Osamu Saeki.