A Hamiltonian \(\coprod_n BO (n)\)-action, stratified Morse theory and the \(J\)-homomorphism

DOI10.1112/S0010437X24007279MaRDI QIDQ6622796

Xin Jin

Publication date: 22 October 2024

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

zbMATH Keywords

Lagrangian submanifoldsmicrolocal sheaf theorycorrespondences\(J\)-homomorphismsheaves of spectra

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Global theory of symplectic and contact manifolds (53D35) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) 2-categories, bicategories, double categories (18N10)

Cites Work

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• Rectification of algebras and modules
• Sheaf quantization of Hamiltonian isotopies and applications to nondisplaceability problems
• Day convolution for \(\infty\)-categories
• Microlocal category for Weinstein manifolds via the h-principle
• Fukaya categories and Picard-Lefschetz theory
• Microlocal branes are constructible sheaves
• Bott periodicity via simplicial spaces
• Function complexes in homotopical algebra
• Categories and cohomology theories
• On the immersion classes of nearby Lagrangians
• Constructible sheaves and the Fukaya category
• Higher Topos Theory (AM-170)
• Brane structures in microlocal sheaf theory
• Sheaves and symplectic geometry of cotangent bundles

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