Irregular vanishing on $\mathbb{P}^2 \times \mathbb{P}^2$
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915693585235968 |
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| author | Chang, Huai-Liang Lee, Sanghyeon Li, Jun |
| author_facet | Chang, Huai-Liang Lee, Sanghyeon Li, Jun |
| contents | In this paper, we describe Mixed-Spin-P(MSP) fields for a smooth CY 3-fold $X_{3,3} \subset \mathbb{P}^2 \times \mathbb{P}^2$. Then we describe $\mathbb{C}^* -$fixed loci of the moduli space of these MSP fields. We prove that any virtual localization term coming from the fixed locus corresponding to an irregular graph does not contribute to the invariant if the graph is not a pure loop, and also prove this vanishing property for the moduli space of N-MSP fields. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_09552 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Irregular vanishing on $\mathbb{P}^2 \times \mathbb{P}^2$ Chang, Huai-Liang Lee, Sanghyeon Li, Jun Algebraic Geometry 14N35, 14C17 In this paper, we describe Mixed-Spin-P(MSP) fields for a smooth CY 3-fold $X_{3,3} \subset \mathbb{P}^2 \times \mathbb{P}^2$. Then we describe $\mathbb{C}^* -$fixed loci of the moduli space of these MSP fields. We prove that any virtual localization term coming from the fixed locus corresponding to an irregular graph does not contribute to the invariant if the graph is not a pure loop, and also prove this vanishing property for the moduli space of N-MSP fields. |
| title | Irregular vanishing on $\mathbb{P}^2 \times \mathbb{P}^2$ |
| topic | Algebraic Geometry 14N35, 14C17 |
| url | https://arxiv.org/abs/2504.09552 |