A formula on $g=1$ quantum K-invariants

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arxiv 2411.06053 v1 pith:77RJANYS submitted 2024-11-09 math.AG

Dun Tang This is my paper · ORCID

classification math.AG

keywords quantumanalogdijkgraaf-wittenformulainvariantsk-invariantsk-theoryprove

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abstract

In this paper, we prove an analog of Dijkgraaf-Witten's theorem for $g=1$ invariants in quantum K-theory.

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Reconstruction of $g=1$ permutation equivariant quantum $K$-invariants
math.AG 2025-02 conditional novelty 6.0 of 10

A reconstruction theorem expresses genus-one permutation-equivariant quantum K-invariants of any compact Kähler manifold in terms of genus-zero data and residues.