Enumerative vs. Symplectic Invariants and Obstruction Bundles

Details Enumerative vs. Symplectic Invariants and Obstruction Bundles Enumerative vs. Symplectic Invariants and Obstruction Bundles

2002-01-26

arxiv.org/abs/math/0201255v1

Mathematics

Symplectic Geometry

75 pages

Scientific paper

We give detailed descriptions of gluing pseudoholomorphic maps in symplectic
geometry, especially in the presence of an obstruction bundle. The main
motivation is to try to compare the symplectic and enumerative invariants of
algebraic manifolds. These descriptions can also be used to enumerate rational
curves with high-order degeneracies of local nature in projective spaces.

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