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.
arXiv:2109.02026 , year=
3 Pith papers cite this work. Polarity classification is still indexing.
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2026 3representative citing papers
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.
Presents a construction for inducing t-structures on semiorthogonal components via perverse t-structures and applies it to obtain bounded t-structures on phantom categories, Fano complements, Enriques residuals, and other examples.
citing papers explorer
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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.
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Inducing t-structures on semiorthogonal components
Presents a construction for inducing t-structures on semiorthogonal components via perverse t-structures and applies it to obtain bounded t-structures on phantom categories, Fano complements, Enriques residuals, and other examples.