The 4-fold Pandharipande--Thomas vertex
Algebraic Geometry
2023-06-23 v1
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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Cite
@article{arxiv.2306.12923,
title = {The 4-fold Pandharipande--Thomas vertex},
author = {Henry Liu},
journal= {arXiv preprint arXiv:2306.12923},
year = {2023}
}
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37 pages