Frame ambiguity in Open Gromov-Witten invariants

Details Frame ambiguity in Open Gromov-Witten invariants Frame ambiguity in Open Gromov-Witten invariants

2010-03-24

arxiv.org/abs/1003.4684v2

Mathematics

Symplectic Geometry

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Scientific paper

We consider Open Gromov-Witten invariants for noncompact Calabi-Yau in the case the Lagrangian has the topology of $\R^2 \times S^1$. The definition of the invariant involves the choice of a frame for the Lagrangian, in accord with string theory. Our result applies to the examples arising from Large $N$-duality. In particular it leads to knot and link invariants counting holomorphic curves.

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