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Symplectic techniques in geometric quantum mechanics and nonlinear quantum mechanics
Published 2013Subjects: “…Symplectic geometry…”
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Fukaya A∞-structures associated to Lefschetz fibrations. I
Published 2013Get full text
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Fukaya A∞-structures associated to Lefschetz fibrations. IV 1/2
Published 2021Get full text
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Some speculations on pairs-of-pants decompositions and Fukaya categories
Published 2018“…Sheaf-theoretic ideas have been successfully applied to the symplectic geometry of cotangent bundles, starting with the work of Fukaya-Oh [17], and followed by Kasturirangan-Oh [26, 39] and Nadler-Zaslow [35,36] (for a survey of the last-mentioned work and related ideas of Fukaya-Smith, see [19]). …”
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The symplectic geometrical formulation of quantum hydrodynamics
Published 2022“…Quantum hydrodynamics described by Madelung equations is analyzed in the framework of symplectic geometry i.e. in covariant phase space approach to geometric field theory. …”
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A classical model for derived critical loci
Published 2015“…Thus, their theory may have applications in algebraic symplectic geometry, and in Donaldson-Thomas theory of Calabi-Yau 3-folds. …”
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Some new homology and cohomology theories of manifolds and orbifolds
Published 2015“…In a sequel we will construct virtual classes and virtual chains for Kuranishi spaces in M-(co)homology, with a view to applications of M-(co)homology in areas of Symplectic Geometry involving moduli spaces of $J$-holomorphic curves.…”
Journal article