Motivic and quantum invariance under stratified Mukai flops

Details Motivic and quantum invariance under stratified Mukai flops Motivic and quantum invariance under stratified Mukai flops

2008-01-23

arxiv.org/abs/0801.3551v2

J. Differential Geometry 80 (2008), no.2, 261-280

Mathematics

Algebraic Geometry

Scientific paper

For stratified Mukai flops of type $A_{n,k}, D_{2k+1}$ and $E_{6,I}$, it is
shown 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 through
degeneration/deformation to ordinary flops.

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