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.
arXiv:2008.13165 , year=
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Reduced loop homology is introduced so the loop product and coproduct form a unital infinitesimal anti-symmetric bialgebra satisfying a modified Sullivan relation, established via reduced symplectic homology on Weinstein manifolds.
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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Reduced symplectic homology and string topology
Reduced loop homology is introduced so the loop product and coproduct form a unital infinitesimal anti-symmetric bialgebra satisfying a modified Sullivan relation, established via reduced symplectic homology on Weinstein manifolds.
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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.