秩二ADHM不变量与穿墙
Rank Two ADHM Invariants and Wallcrossing
摘要：
将Joyce和Song的形式化方法应用于曲线上的ADHM层，定义了对应于局部D 6-D2-D 0组态的广义Donaldson-Thomas不变量。证明了D 6-秩2的不变量的一个跨壁公式，并表明与Kontsevich和Soibelman的跨壁公式一致。利用这一结果，利用D 6秩1不变量计算了（-1，-1）和（0，-2）局部有理曲线的渐近D 6秩2不变量.
英文摘要：
Generalized Donaldson-Thomas invariants corresponding to local D6-D2-D0 configurations are defined applying the formalism of Joyce and Song to ADHM sheaves on curves. A wallcrossing formula for invariants of D6-rank two is proven and shown to agree with the wallcrossing formula of Kontsevich and Soibelman. Using this result, the asymptotic D6-rank two invariants of (-1,-1) and (0,-2) local rational curves are computed in terms of the D6-rank one invariants.
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