Proves the compactly supported symplectic mapping class group of conifold smoothing X splits off an infinite-rank free group and classifies spherical objects in D(Y) for the conifold resolution.
Sheaves on local Calabi-Yau varieties
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abstract
We investigate sheaves supported on the zero section of the total space of a locally-free sheaf E on a smooth, projective variety X when the top exterior power of E is isomorphic to the canonical bundle of X. We rephrase this construction using the language of A-infinity algebra and provide a simple characterisation of the case E is simply the canonical bundle itself.
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2023 1verdicts
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Symplectomorphisms and spherical objects in the conifold smoothing
Proves the compactly supported symplectic mapping class group of conifold smoothing X splits off an infinite-rank free group and classifies spherical objects in D(Y) for the conifold resolution.