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.
King, Moduli of representations of finite-dimensional algebras, Quart
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Exact Lagrangian immersions with augmentations or bounding cochains are generated by Lagrangian cocores in Weinstein manifolds.
Generating series of motives of central slope Kronecker moduli spaces are solutions of algebraic and q-difference equations via reflection functor dualities.
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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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Generation of immersed Lagrangians by cocores
Exact Lagrangian immersions with augmentations or bounding cochains are generated by Lagrangian cocores in Weinstein manifolds.
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Motives of central slope Kronecker moduli
Generating series of motives of central slope Kronecker moduli spaces are solutions of algebraic and q-difference equations via reflection functor dualities.