Smooth quartic threefolds are symplectically irrational, shown via an obstruction from big quantum cohomology eigenvalue multiplicities that is invariant under symplectic operations.
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The quartic threefold is symplectically irrational
Smooth quartic threefolds are symplectically irrational, shown via an obstruction from big quantum cohomology eigenvalue multiplicities that is invariant under symplectic operations.