Locality in the Fukaya category of a hyperkähler manifold

DOI10.1112/S0010437X1900753XzbMath1428.53059arXiv1805.0010MaRDI QIDQ5197415

Misha Verbitsky, Jake P. Solomon

Publication date: 23 September 2019

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.0010

zbMATH Keywords

Łojasiewicz inequalityhyper-KählerFukaya categoryspecial LagrangianFloer cohomologyreal analyticlocalpseudoholomorphic mapholomorphic Lagrangian

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Lagrangian submanifolds; Maslov index (53D12) Calibrations and calibrated geometries (53C38) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Related Items (5)

Batalin-Vilkovisky quantization and supersymmetric twists ⋮ Formality of differential graded algebras and complex Lagrangian submanifolds ⋮ Algebraic dimension and complex subvarieties of hypercomplex nilmanifolds ⋮ A sheaf-theoretic model for SL \((2, \mathbb C)\) Floer homology ⋮ Special Lagrangian submanifolds of log Calabi-Yau manifolds

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