# Knot Floer homology and strongly homotopy-ribbon concordances

**Authors:** Maggie Miller, Ian Zemke

arXiv: 1903.05772 · 2020-01-03

## TL;DR

This paper proves that strongly homotopy-ribbon concordances induce injective maps on knot Floer homology, revealing new structural properties of these concordances in knot theory.

## Contribution

It establishes the injectivity of the map on knot Floer homology induced by strongly homotopy-ribbon concordances, a novel result in the study of knot invariants.

## Key findings

- Injective maps on knot Floer homology from strongly homotopy-ribbon concordances
- New insights into the structure of knot concordances
- Advancement in understanding knot invariants and their relations

## Abstract

We prove that the map on knot Floer homology induced by a strongly homotopy-ribbon concordance is injective.

## Full text

_Full body text omitted from this summary view._ Fetch the complete paper as Markdown: https://tomesphere.com/paper/1903.05772/full.md

## Figures

4 figures with captions in the complete paper: https://tomesphere.com/paper/1903.05772/full.md

---
Source: https://tomesphere.com/paper/1903.05772