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Cosmetic surgeries on knots in $S^3$
倪毅教授(美国加州理工学院)
2018-01-01 12:13 华东师范大学
题目:Cosmetic surgeries on knots in $S^3$
报告人 倪毅教授(美国加州理工学院)
时间:2011年12月7日 下午 2:00-3:00
地点:中山北路理科大楼1414室
摘要 Two Dehn surgeries on a knot are called purely cosmetic, if they yield
manifolds that are homeomorphic as oriented manifolds. I will talk about
necessary conditions for the existence of purely cosmetic surgeries on
knots in $S^3$. In particular, the two surgery slopes must be the opposite
of each other. The proof uses a surgery formula for the correction terms
in Heegaard Floer homology. This is joint work with Zhongtao Wu.