Perverse coherent extensions on Calabi-Yau threefolds and representations of cohomological Hall algebras

Dylan Butson, Miroslav Rapcak

For $Y\to X$ a toric Calabi-Yau threefold resolution and $M\in \DD^b\Coh(Y)^T$ satisfying some hypotheses, we define a stack $\mf M(Y,M)$ parameterizing \emph{perverse coherent ext…