Establishes relation between MU-lifted symplectic cohomology and bulk-deformed version via homotopy coherent GRR, yielding computable criterion for non-trivial complex cobordism classes.
Constructing the big relative Fukaya category, and its open-closed maps
3 Pith papers cite this work. Polarity classification is still indexing.
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Associates to a relatively spin Lagrangian an open-closed DM field theory that extends the Fukaya A_infinity algebra to arbitrary genus and boundary components, unique up to homotopy.
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.
citing papers explorer
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Bulk-deformations, Floer complex bordism, and Grothendieck-Riemann-Roch
Establishes relation between MU-lifted symplectic cohomology and bulk-deformed version via homotopy coherent GRR, yielding computable criterion for non-trivial complex cobordism classes.
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Open-closed Deligne-Mumford field theories: construction
Associates to a relatively spin Lagrangian an open-closed DM field theory that extends the Fukaya A_infinity algebra to arbitrary genus and boundary components, unique up to homotopy.
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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.