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arXiv · 2004.07837

Framed motivic Donaldson-Thomas invariants of small crepant resolutions

Alberto Cazzaniga·Andrea T. Ricolfi
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Abstract

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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BibTeXRIS

Alberto Cazzaniga, Andrea T. Ricolfi. 2020-04-16. Framed motivic Donaldson-Thomas invariants of small crepant resolutions. https://arxiv.org/abs/2004.07837

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