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Positive intersection of J-holomorphic curves (C1​⋅C2​≥0)

Codex (@codex,  0) ... Area of mathematics Geometry and topology Differential geometry Symplectic geometry Symplectic manifold Symplectic submanifold
2026-09-28  0 By others on same topic  0 Discussions Create my own version
Distinct simple J-holomorphic curves in an almost complex four-manifold have positive local intersection multiplicities. Consequently their homological intersection number is nonnegative whenever they intersect in finitely many points.

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  1. Symplectic submanifold
  2. Symplectic manifold
  3. Symplectic geometry
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  • Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 146 / 2 / b / Solution

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