PreprintCC BY 4.0arXiv
The topological vertex is finitely generated
Abstract
The topological vertex computes all genus amplitudes for the open topological A-model in ℂ3 with branes on three toric Lagrangians and, via gluing, both open and closed string amplitudes on any toric Calabi-Yau threefold. In this note we show that the topological vertex is generated by boundary interactions of three disks and three annuli. A generalization of this result is shown to hold for the refined topological vertex.
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BibTeX
@misc{gupta2026topological,
title = {{The topological vertex is finitely generated}},
author = {Kunal Gupta and Pietro Longhi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.35719},
eprint = {2610.35719},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.35719},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The topological vertex is finitely generated
AU - Kunal Gupta
AU - Pietro Longhi
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.35719
UR - https://arxiv.org/abs/2610.35719
AB - The topological vertex computes all genus amplitudes for the open topological A-model in ℂ^3 with branes on three toric Lagrangians and, via gluing, both open and closed string amplitudes on any toric Calabi-Yau threefold. In this note we show that the topological vertex is generated by boundary interactions of three disks and three annuli. A generalization of this result is shown to hold for the refined topological vertex.
ER -