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arXiv · 1407.6138

Stable pair invariants under blow-ups

Hua-Zhong Ke
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Abstract

We use degeneration formula to study the change of stable pair invariants of 3-folds under blow-ups and obtain some closed blow-up formulae. Related results on Donaldson-Thomas invariants are also discussed. Our results give positive evidence for GW/DT/P correspondence, and also give partial correspondence for varieties not necessarily toric or complete intersections.

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Hua-Zhong Ke. 2014-07-23. Stable pair invariants under blow-ups. https://arxiv.org/abs/1407.6138

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