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Reduced Open Gromov-Witten Invariants on HyperKäher Manifolds

We use the hyperKäler geometry define an disc-counting invariants with deformable boundary condition on hyperKähler manifolds. Unlike the reduced Gromov-Witten invariants, these invariants can have non-trivial wall-crossing phenomenon and are expected to be the generalized Donaldson-Thomas invariants in the construction of hyperKähler metric proposed by Gaiotto-Moore-Neitzke.

preprint2014arXivOpen access
Yu-Shen Lin
math.SG
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Yu-Shen Lin

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