Rank $r$ DT theory from rank $0$

Soheyla Feyzbakhsh, Richard P. Thomas

Fix a Calabi-Yau 3-fold $X$ satisfying the Bogomolov-Gieseker conjecture of Bayer-Macrì-Toda, such as the quintic 3-fold. We express Joyce's generalised DT invariants counting Gies…