Reconstruction of g=1 permutation equivariant quantum K-invariants

2025/02/10 by Dun Tang, Tang, Dun
Mathematics · #Advanced Operator Algebra Research #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Random Matrices and Applications

paper · pdf · doi:10.48550/arxiv.2502.06187

openalex publication_date 2025/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we establish an analog of Dijkgraaf-Witten's theorem for g=1 invariants in permutation-equivariant quantum K-theory. This result generalizes the findings of \citeTang1 and \citeTang2.

Related

• Two reconstruction theorems in permutation equivariant quantum K-theory
• A formula on g=1 quantum K-invariants
• Permutation-equivariant quantum K-theory VII. General theory
• Permutation-equivariant quantum K-theory XI. Quantum Adams-Riemann-Roch
• Permutation-equivariant quantum K-theory IX. Quantum Hirzebruch-Riemann-Roch in all genera