On the Qazaqzeh-Chbili-Lowrance conjecture
Shreev Goyal, Joshua Kou, Christine Ruey Shan Lee, Emma Wu, Helen Yang, Aaron Zhou
TL;DR
This paper verifies the Qazaqzeh-Chbili-Lowrance conjecture for a specific family of links by computing their minimum crossing numbers, contributing to the understanding of link invariants.
Contribution
It provides the first verification of the conjecture for Turaev genus 2 links through explicit crossing number calculations.
Findings
Confirmed the conjecture for Turaev genus 2 links
Computed minimum crossing numbers for the family
Supported the conjecture's validity in this case
Abstract
We compute the minimum crossing numbers for a family of Turaev genus 2 links to verify the Qazaqzeh-Chbili-Lowrance conjecture for the family.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Advanced Combinatorial Mathematics