New Structure of Knot Invariants

2010/12/13 by Kefeng Liu, Pan Peng, Liu, Kefeng +1
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #hep-th #math.GT

paper · pdf · doi:10.48550/arxiv.1012.2636

arxiv created 2010/12/13 · openalex publication_date 2010/12/13 · arxiv updated 2010/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Based on the proof of Labastida-Mariño-Ooguri-Vafa conjecture \citelmov, we derive an infinite product formula for Chern-Simons partition functions, the generating function of quantum \fsl_N invariants. Some symmetry properties of the infinite product will also be discussed.

Related

• New structure for orthogonal quantum group invariants
• Multipartite Generating Functions and Infinite Products for Quantum Invariants
• Knot Invariants and Chern-Simons Theory
• Orthogonal Quantum Group Invariants of Links
• Knot Invariants and Topological Quantum Field Theory