Introduction to Knot Cobordisms
报告题目(Title):Introduction to Knot Cobordisms
报告人(Speaker):汪世达
地点(Place):后主楼1223
时间(Time):2021年12月24日 16:00-17:00
邀请人(Inviter):程志云
报告摘要
The study of four-dimensional properties of knots is an important area in low-dimensional topology. A natural construction in this direction is the concordance group, induced by cobordisms of genus zero between knots. We will review this construction and a few related notions including slice knots, ribbon concordance and the 4-genus. Several tools, such as the signature function, Casson-Gordon invariants and Heegaard Floer homology, will be introduced along the way. We will also survey some recent progress in the field.