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Open Gromov-Witten theory on Calabi-Yau three-folds I
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abstract
We propose a general theory of the Open Gromov-Witten invariant on Calabi-Yau three-folds. We introduce the moduli space of multi-curves and show how it leads to invariants. Our construction is based on an idea of Witten. In the special case that each connected component of the Lagrangian submanifold has the rational homology of a sphere we define rational numbers $F_{g,h}$ for each genus $g$ and $h$ boundary components.
Forward citations
Cited by 3 Pith papers
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Wild wall-crossing and symmetric quivers in 4d and 3d $\mathcal{N}=2$ field theories
The paper derives a tree-of-unlinkings formula for wild Donaldson-Thomas invariants of m-Kronecker quivers from wall-crossing identities rewritten through symmetric quivers and diagonalization.
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Quantum Master Equation and Open Gromov-Witten Theory 2
The paper defines the non-abelian open Gromov-Witten potential and derives a quantum master equation for it, conditional on auxiliary constructions from the author's companion papers.
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Quantum Master Equation and Open Gromov-Witten theory
The higher-genus open-closed Gromov-Witten potential is constructed and shown to solve the quantum master equation up to quantum master isotopy.
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