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トポロジーセミナー(2017/09/04)

日時:2017年9月4日(月)16:10〜17:10

場所:筑波大学 自然系学系D棟D509

講演者:Min Hoon Kim 氏 (Korea Institute for Advanced Study)

講演題目:Irreducible 3-manifolds that cannot be obtained by 0-surgery on a knot

アブストラクト:We give infinitely many examples of closed, orientable, irreducible 3-manifolds $M$ such that $b_1(M)=1$ and $\pi_1(M)$ has weight 1, but $M$ is not the result of Dehn surgery along a knot in the 3-sphere.
This answers a question of Aschenbrenner, Friedl and Wilton.
This is joint work with Matt Hedden and Kyungbae Park.