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Seminar

FHT Program Seminar: A Filtered Mapping Cone Formula for Cables of the Knot Meridian November 10, 2022 (01:15 PM PST - 02:00 PM PST)
Parent Program:
Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Hugo Zhou (Georgia Institute of Technology)
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FHT Program Seminar: A Filtered Mapping Cone Formula For Cables Of The Knot Meridian

Abstract/Media

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.

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FHT Program Seminar: A Filtered Mapping Cone Formula For Cables Of The Knot Meridian