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From symplectic cohomology to Lagrangian enumerative geometry. (arXiv:1711.03292v1 [math.SG])
来源于:arXiv
We build a bridge between Floer theory on open symplectic manifolds and the
enumerative geometry of holomorphic disks inside their Fano compactifications,
by detecting elements in symplectic cohomology which are mirror to
Landau-Ginzburg potentials. We also treat the higher Maslov index versions of
LG potentials introduced in a more restricted setting.
We discover a relation between higher disk potentials and symplectic
cohomology rings of anticanonical divisor complements (themselves related to
closed-string Gromov-Witten invariants), and explore several other applications
to the geometry of Liouville domains. 查看全文>>