论文标题

框架动机唐纳森 - 托马斯的小毛pans

Framed motivic Donaldson-Thomas invariants of small crepant resolutions

论文作者

Cazzaniga, Alberto, Ricolfi, Andrea T.

论文摘要

对于任意整数$ r \ geq 1 $,我们计算$ r $ r $ framed动机PT和DT不变的小毛press calabi-yau $ 3 $ folds,建立了动机DT/PT/pt壁挂配方的“更高等级”版本。这概括了莫里森和长海的工作。我们的公式,尤其是它们与$ r = 1 $理论的关系,非常适合当前高级精炼的DT不变性的发展。

For an arbitrary integer $r\geq 1$, we compute $r$-framed motivic PT and DT invariants of small crepant resolutions of toric Calabi-Yau $3$-folds, establishing a "higher rank" version of the motivic DT/PT wall-crossing formula. This generalises the work of Morrison and Nagao. Our formulae, in particular their relationship with the $r=1$ theory, fit nicely in the current development of higher rank refined DT invariants.

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