STABLE PAIR THEORY ON TORIC ORBIFOLDS AND COLORED REVERSE PLANE PARTITIONS
| dc.contributor.advisor | Gholampour, Amin | en_US |
| dc.contributor.author | Zhang, Tao | en_US |
| dc.contributor.department | Mathematics | en_US |
| dc.contributor.publisher | Digital Repository at the University of Maryland | en_US |
| dc.contributor.publisher | University of Maryland (College Park, Md.) | en_US |
| dc.date.accessioned | 2021-07-01T05:31:15Z | |
| dc.date.available | 2021-07-01T05:31:15Z | |
| dc.date.issued | 2020 | en_US |
| dc.description.abstract | We give a GIT construction for the moduli space of stable pairs on projective stacks, and study PT invariants on orbiflod toric Calabi-Yau threefolds with transverse $A_{n-1}$ singularities. The basic combinatorial object is the orbifold PT vertex $W^n_{\lambda\mu\nu}$. In the 1-leg case, $W^n_{\lambda\mu\nu}$ is the generating function for the number of $\mathbb{Z}_n$-colored reverse plane partitions, and we derive an explicit formula for $W^n_{\lambda\mu\nu}$ in terms of Schur functions. We also explicitly compute the PT partition function and verify the orbifold DT/PT correspondence for the local football $\operatorname{Tot}\left(\mathcal{O}(-p_0)\oplus\mathcal{O}(-p_\infty)\rightarrow\mathbb{P}^1_{a,b}\right)$. | en_US |
| dc.identifier | https://doi.org/10.13016/tjng-2ydw | |
| dc.identifier.uri | http://hdl.handle.net/1903/27192 | |
| dc.language.iso | en | en_US |
| dc.subject.pqcontrolled | Mathematics | en_US |
| dc.title | STABLE PAIR THEORY ON TORIC ORBIFOLDS AND COLORED REVERSE PLANE PARTITIONS | en_US |
| dc.type | Dissertation | en_US |
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