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For stratified Mukai flops of type $A_{n,k}, D_{2k+1}$ and $E_{6,I}$, it isshown the fiber product induces isomorphisms on Chow motives. In contrast to(standard) Mukai flops, the cup product is generally not preserved. For $A_{n,2}$, $D_5$ and $E_{6, I}$ flops, quantum corrections are found throughdegeneration/deformation to ordinary flops.

Motivic and quantum invariance under stratified Mukai flops