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Non-perturbative Topological String on Compact Calabi-Yau 3-folds

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BLH - Black holes: bridges between number theory and holographic quantum information

We review the techniques for solving the topological string focussing on the recent  progress in improving the high genus boundary conditions by considering the non-commutative resolutions of maximal unipotent monodromy points with Z2 torsion, the knowledge of modular D4-D2-D0 gauge theory indices and wall crossing formulas relating the latter to Donalsdon-Thomas, Pandharipande Thomas and finally Gopakunar Vafa invariants. The obtained  high order perturbative results are used to confirm and extend analytic non-perturbative results based on resurgence techniques and in particular a transseries solution of the holomorphic anomaly equations.

This talk is part of the Isaac Newton Institute Seminar Series series.

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