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arXiv · 2306.12923

The 4-fold Pandharipande--Thomas vertex

Henry Liu
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Abstract

We give a conjectural but full and explicit description of the (K-theoretic) equivariant vertex for Pandharipande--Thomas stable pairs on toric Calabi--Yau 4-folds, by identifying torus-fixed loci as certain quiver Grassmannians and prescribing a canonical half of the tangent-obstruction theory. For any number of non-trivial legs, the DT/PT vertex correspondence can then be verified by computer in low degrees.

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Henry Liu. 2023-06-22. The 4-fold Pandharipande--Thomas vertex. https://arxiv.org/abs/2306.12923

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