A simpler kernel for stratified Mukai flops

Abstract

We reinvestigate the problem of describing the Fourier-Mukai kernel for the derived equivalence associated to a stratified Mukai flop. We prove that if one works in the framework of matrix factorizations then the kernel has a very simple geometric construction.

arXiv commentv1: 15 pages, comments welcome. v2: We have generalized the result from Grassmannians of lines to all Grassmannians