# Classification of Legendrian knots of topological type $7_6$ with maximal Thurston--Bennequin number

## TL;DR

This paper classifies Legendrian knots of topological type 7_6 with maximal Thurston--Bennequin number, confirming existing conjectures and advancing understanding of Legendrian knot classification.

## Contribution

It provides a complete classification of Legendrian knots of type 7_6 with maximal Thurston--Bennequin number, verifying conjectures of Chongchitmate--Ng.

## Key findings

- Confirmed conjectures of Chongchitmate--Ng.
- Classified Legendrian knots of type 7_6 with maximal Thurston--Bennequin number.
- Enhanced understanding of Legendrian knot invariants.

## Abstract

We classify Legendrian knots of topological type $7_6$ having maximal Thurston--Bennequin number confirming the corresponding conjectures of Chongchitmate--Ng.