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arxiv: 1503.06581 · v1 · pith:TDQXZFB4new · submitted 2015-03-23 · 🧮 math.AG

Local and relative BPS state counts for del Pezzo surfaces

classification 🧮 math.AG
keywords countsstatelocalpezzorelativesurfacescalabi-yaucase
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Relative BPS state counts for log Calabi-Yau surface pairs were introduced by Gross-Pandharipande-Siebert. We describe how in the case of del Pezzo surfaces they are linearly related to local BPS state counts by means of generalized Donaldson-Thomas invariants of loop quivers.

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