Framed motivic Donaldson–Thomas invariants of small crepant resolutions

Abstract

For an arbitrary integer 𝑟 ≥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 theory, fit nicely in the current development of higher rank refined DT invariants.

Authors

Alberto Cazzaniga, Andrea T. Ricolfi

Journal

Mathematische Nachrichten

Publication Date

12/04/2022

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