Kontsevich-Soibelman Wall Crossing Formula and Holomorphic Disks

Vito Iacovino

Kontsevich-Soibelman Wall Crossing Formula and Holomorphic Disks

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arxiv 1711.05306 v2 pith:66M27EOE submitted 2017-11-14 math.SG math.AG

Vito Iacovino This is my paper

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keywords crossingdisksformulaholomorphickontsevich-soibelmanrationalwallbounding

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We define rational numbers counting holomorphic disks bounding a complex lagrangian submanifold on a hyperkhaler manifold of real dimension four. We provide a simple a direct proof of Kontsevich-Soibelman Wall Crossing Formula for these rational invariants.

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Cited by 1 Pith paper

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Wild wall-crossing and symmetric quivers in 4d and 3d $\mathcal{N}=2$ field theories
hep-th 2025-06 conditional novelty 6.0 of 10

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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