中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

综合报告会

（Colloquium）

报告人：倪忆 （California Institute of Technology）  

题  目：Knot Floer homology and fixed points

时  间：2023.08.16（星期三）16:00-17:00

地  点：数学院南楼N933

摘  要：Knot Floer homology is a categorification of the Alexander polynomial of knots. It contains a lot of geometric and topological information of the knot. We will prove that, for a fibered knot, the rank of the second term of knot Floer homology provides an upper bound of the minimal number of fixed points of the monodromy of the knot. The proof uses an argument of Baldwin--Hu--Sivek, as well as Cotton-Clay's computation of the symplectic Floer homology of mapping classes.