Existence of Maslov index 2 pseudo-holomorphic disks for isotoped monotone Lagrangians is established using a non-archimedean analytic disk potential invariant.
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2026 2verdicts
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Proves that injectivity of the quantum-to-Hochschild map implies split generation by the given Lagrangians and isomorphism of Fukaya (co)homology with quantum cohomology, extending the exact case.
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Existence of pseudo-holomorphic disks via non-archimedean disk potentials
Existence of Maslov index 2 pseudo-holomorphic disks for isotoped monotone Lagrangians is established using a non-archimedean analytic disk potential invariant.
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Quantum cohomology and split generation in Lagrangian Floer theory
Proves that injectivity of the quantum-to-Hochschild map implies split generation by the given Lagrangians and isomorphism of Fukaya (co)homology with quantum cohomology, extending the exact case.