中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

拓扑研讨班

Speaker: Mike Miller Eismeier（University of Vermont）

Inviter: 李振坤

Language: English

Title: Cosmetic surgery and filtered instanton homology

Time & Venue: 2025年11月26日（星期三） 14：00-15：00&南楼N820

Abstract: In joint work with Lidman and Daemi, we show that if K is a non-trivial knot in S^3, no two integer homology sphere surgeries on K can be oriented homeomorphic. It follows from this and known results that if a knot K in S^3 admits a cosmetic surgery, then the cosmetic slopes must be {2,-2} and K must have trivial Alexander polynomial.