$G_2$-Grassmannians and derived equivalences

Abstract

We prove the derived equivalence of a pair of non-compact Calabi-Yau 7-folds, which are the total spaces of certain rank 2 bundles on $G_2$-Grassmannians. The proof follows that of the derived equivalence of Calabi-Yau 3-folds in $G_2$-Grassmannians by Kuznetsov closely.

8 pages. v2: updated references

References in corpus (2)

• Phases Of N=2 Theories In 1+1 Dimensions With Boundary
• The class of the affine line is a zero divisor in the Grothendieck ring: via $G_2$-Grassmannians