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Canonical vertex formalism in DT theory of toric Calabi-Yau 4-folds

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Publication date

2022-04

Authors

Monavari, SergejISNI 0000000506828113

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DOI

https://doi.org/10.1016/j.geomphys.2022.104466

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Article

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Utrecht University Repository
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Abstract

Motivated by previous computations of Y. Cao, M. Kool and the author, we propose square roots and sign rules for the vertex and edge terms that compute Donaldson-Thomas invariants of a toric Calabi-Yau 4-fold, and prove that they are canonical, exploiting the combinatorics of plane and solid partitions.

Keywords

DT theory of Calabi-Yau 4-folds, Hilbert schemes, K-theoretic invariants, Orientations, Virtual localization, Mathematical Physics, General Physics and Astronomy, Geometry and Topology

Citation

Monavari, S 2022, 'Canonical vertex formalism in DT theory of toric Calabi-Yau 4-folds', Journal of Geometry and Physics, vol. 174, 104466, pp. 1-15. https://doi.org/10.1016/j.geomphys.2022.104466

URI

http://hdl.handle.net/1874/420942