Pulse Entdecken nav.journalClub Debatten Trends Forschende

Join discussions, follow papers, and never miss your next session.

Download on theApp Store

Start Entdecken nav.journalClub Trends

⌘+K

Fundamental Generalized Legendrian Rack and Classical Invariants | Synapse

February 22, 2026

View Full Paper

Fundamental Generalized Legendrian Rack and Classical Invariants

ZCZhiyun ChengBeijing Normal University ZHZhiyi HeBeijing Normal University

Key Points

The aim is to explore the relationship between Legendrian knots and their invariants based on GL-rack isomorphism.
Proving the relationships between invariants of Legendrian knots.
Analyzing the properties of fundamental GL-racks.
Mathematical proofs to establish conditions for invariants.
Legendrian knots with isomorphic fundamental GL-racks have equal Thurston-Bennequin and rotation numbers, or opposite values.
Demonstrates a clear connection between GL-rack isomorphism and knot invariants.

Abstract

In this paper, we prove that if two Legendrian knots have isomorphic fundamental GL-racks, then either they have the same Thurston-Bennequin number and the same rotation number, or they have the opposite Thurston-Bennequin numbers and opposite rotation numbers.

KI fragen

Like

Bookmark

Share

View Full Paper

Cite This Study

Cheng et al. (Fri,) studied this question.

synapsesocial.com/papers/699a9d27482488d673cd2dd3 https://doi.org/https://doi.org/10.1142/s0129167x26500278

KI fragen

Like

Bookmark

Share

View Full Paper