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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Constructs imaginary special Lagrangian cylinders near Maslov 0 or n intersections to obtain geodesics of positive Lagrangians and proves C^{1,1} regularity persistence under endpoint perturbations.
Exact Lagrangian immersions with augmentations or bounding cochains are generated by Lagrangian cocores in Weinstein manifolds.
citing papers explorer
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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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Special Lagrangian webbing
Constructs imaginary special Lagrangian cylinders near Maslov 0 or n intersections to obtain geodesics of positive Lagrangians and proves C^{1,1} regularity persistence under endpoint perturbations.
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Generation of immersed Lagrangians by cocores
Exact Lagrangian immersions with augmentations or bounding cochains are generated by Lagrangian cocores in Weinstein manifolds.