Frame ambiguity in Open Gromov-Witten invariants

2010/03/24 by Vito Iacovino, Iacovino, Vito
Mathematics · #FOS: Mathematics #Symplectic Geometry (math.SG) #math.SG

paper · pdf · doi:10.48550/arxiv.1003.4684

Improved exposition

arxiv created 2011/08/16 · arxiv updated 2011/08/17

Abstract

We consider Open Gromov-Witten invariants for noncompact Calabi-Yau in the case the Lagrangian has the topology of \R² × S¹. 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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