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Immersed surfaces in R^2×S^1 whose projection to the circle has exactly one critical point

Hold Date 2022-01-28 15:40~2022-01-28 16:10

Place Zoom

Object person  

Speaker Soutarou Sano (Kyushu University)

Abstract: We consider composite maps of immersions from closed surfaces into R^2×S^1 and projections from there to S^1. Then, a number of critical points which this composite map with depends on the immersion.In this lecture, we characterize closed surfaces which have immersions with exactly one critical point.