# Knots not concordant to L-space knots

**Authors:** Ramazan Yozgyur

arXiv: 1905.02461 · 2019-05-08

## TL;DR

This paper demonstrates that certain knots cannot be algebraically concordant to any connected sum of positive and negative L-space knots, using advanced methods in knot theory.

## Contribution

It introduces new examples of knots that are not algebraically concordant to L-space knot sums, expanding understanding of knot concordance classes.

## Key findings

- Identifies knots not algebraically concordant to L-space knot sums
- Utilizes methods of Friedl, Livingston, and Zentner
- Provides new insights into knot concordance structure

## Abstract

In this short note we use methods of Friedl, Livingston and Zentner to show that there are knots that are not algebraically concordant to a connected sum of positive and negative L-space knots.

## Full text

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## References

12 references — full list in the complete paper: https://tomesphere.com/paper/1905.02461/full.md

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Source: https://tomesphere.com/paper/1905.02461