|Location:||MSRI: Simons Auditorium, Online/Virtual|
FHT Program Seminar: A Filtered Mapping Cone Formula For Cables Of The Knot Meridian
To participate in this seminar, please register HERE.
Ozsváth-Szabó constructed the mapping cone formula, which connects the Heegaard Floer theory with low dimension topology. As a refinement, Hedden-Levine defined a filtered mapping cone formula by putting a filtration on the original mapping cone formula. We construct a filtered mapping cone formula that computes the knot Floer complex of the (n,1)-cable of the knot meridian in any rational surgery, generalizing Hedden-Levine's filtered mapping cone formula. Our filtration is inspired by Truong's result about the (n,1)-cable of the knot meridian in large surgery. During the talk, I will mainly explain the construction of the above formulas, and if time permits, talk about some applications.No Notes/Supplements Uploaded