Refinements of Kool-Thomas Invariants via Equivariant K-theoretic invariants

2020/12/09 by Rizal Afgani, Afgani, Rizal · 1 citation
Computer Science · Mathematics · #14C35 (Secondary) #14N10 (Primary) #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.2012.05278

openalex publication_date 2020/12/09 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

In this article we are defining a refinement of Kool-Thomas invariants of local surfaces via the equivariant K-theoretic invariants proposed by Nekrasov and Okounkov. Kool and Thomas defined the reduced obstruction theory for the moduli of stable pairs P_χ(X,i_*β) as the degree of the virtual class [P_χ(S,β)]^red after we apply τ([pt])^m∈ H^*(P_χ(X,i_*β),ℤ). τ([pt]) contain the information of the incidence of a point and a curve supporting a (F,s). Keywords: Kool-Thomas invariants, K-theoretic invariants, Göttsche Shende invariants

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