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Families of diffeomorphisms of 4-manifolds via graph surgery

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Tadayuki Watanabe
Shimane University
Wed, 2019-09-18 09:30 - 10:20
MPIM Lecture Hall

In this talk, I will explain a method to construct families of diffeomorphisms of a 4-manifold by using a 4D analogue of Goussarov-Habiro's theory of graph surgery in 3D. Our graph surgery would produce lots of potentially nontrivial elements of homotopy groups of diffeomorphism groups of 4-manifolds. I will discuss about their applications to 4D analogue of the Smale conjecture and the 4D light bulb theorem for 3-disk.


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