The orbifold DT/PT vertex correspondence

Fuente: arXiv
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Main Author: Lin, Yijie
Format: Preprint
Published: 2023
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_version_ 1866910899980206080
author Lin, Yijie
author_facet Lin, Yijie
contents We present an orbifold topological vertex formalism for PT invariants of toric Calabi-Yau 3-orbifolds with transverse $A_{n-1}$ singularities. We give a proof of the orbifold DT/PT Calabi-Yau topological vertex correspondence. As an application, we derive an explicit formula for the PT $\mathbb{Z}_{n}$-vertex in terms of loop Schur functions and prove the multi-regular orbifold DT/PT correspondence.
format Preprint
id arxiv_https___arxiv_org_abs_2302_02342
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The orbifold DT/PT vertex correspondence
Lin, Yijie
Algebraic Geometry
14N35
We present an orbifold topological vertex formalism for PT invariants of toric Calabi-Yau 3-orbifolds with transverse $A_{n-1}$ singularities. We give a proof of the orbifold DT/PT Calabi-Yau topological vertex correspondence. As an application, we derive an explicit formula for the PT $\mathbb{Z}_{n}$-vertex in terms of loop Schur functions and prove the multi-regular orbifold DT/PT correspondence.
title The orbifold DT/PT vertex correspondence
topic Algebraic Geometry
14N35
url https://arxiv.org/abs/2302.02342