Framed motivic Donaldson–Thomas invariants of small crepant resolutions

Alberto Cazzaniga and Andrea T. Ricolfi

Mathematische Nachrichten, 2022, vol. 295, issue 6, 1096-1112

Abstract: For an arbitrary integer r≥1$r\ge 1$, we compute r‐framed motivic DT and PT 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$r=1$ theory, fit nicely in the current development of higher rank refined DT invariants.

Date: 2022
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https://doi.org/10.1002/mana.202100068

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