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

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Canonical vertex formalism in DT theory of toric Calabi-Yau 4-folds
 
Monavari, Sergej
(2022) Journal of Geometry and Physics, volume 174, pp. 1 - 15
(Article)
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.
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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
DOI: https://doi.org/10.1016/j.geomphys.2022.104466
ISSN: 0393-0440
Publisher: Elsevier
Note: Funding Information: Acknowledgments. I am grateful to Martijn Kool for asking a question that led to this paper and for the many suggestions. I wish to thank Arkadij Bojko and Yalong Cao for many conversations on orientations in DT theory of Calabi-Yau fourfolds. I also thank the anonymous referee for several helpful comments, which improved the exposition of the paper. S.M. is supported by NWO grant TOP2.17.004. Publisher Copyright: © 2022 The Author(s)
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