A higher-dimensional Kummer construction associates K3^[3]-type hyper-Kähler sixfolds to Kum^3-type sixfolds, with applications to motives, derived categories, and algebraic cycle conjectures.
t-structures; weight filtrations, spectral sequences, and complexes (for motives and in general) , author=
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Exact Lagrangian immersions carrying positive-action bounding cochains - equivalently augmentations of their Legendrian lifts' Chekanov-Eliashberg algebras - are generated by the Lagrangian cocores of the ambient Weinstein manifold.
Compact Fukaya categories of general plumbings are generated by proper modules over associated Ginzburg dg algebras and equivalent to proper modules over wrapped Fukaya categories and to microlocal sheaves.
citing papers explorer
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The hyper-Kummer construction
A higher-dimensional Kummer construction associates K3^[3]-type hyper-Kähler sixfolds to Kum^3-type sixfolds, with applications to motives, derived categories, and algebraic cycle conjectures.
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Generation of immersed Lagrangians by cocores
Exact Lagrangian immersions carrying positive-action bounding cochains - equivalently augmentations of their Legendrian lifts' Chekanov-Eliashberg algebras - are generated by the Lagrangian cocores of the ambient Weinstein manifold.
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Proper modules over Ginzburg dg algebras and compact Fukaya categories of plumbings
Compact Fukaya categories of general plumbings are generated by proper modules over associated Ginzburg dg algebras and equivalent to proper modules over wrapped Fukaya categories and to microlocal sheaves.