Towards a mirror theorem for GLSMs
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866915698893127680 |
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| author | Shoemaker, Mark |
| author_facet | Shoemaker, Mark |
| contents | We propose a method for computing generating functions of genus-zero invariants of a gauged linear sigma model $(V, G, θ, w)$. We show that certain derivatives of $I$-functions of quasimap invariants of $[V //_θG]$ produce $I$-functions (appropriately defined) of the GLSM. When $G$ is an algebraic torus we obtain an explicit formula for an $I$-function, and check that it agrees with previously computed $I$-functions in known special cases. Our approach is based on a new construction of GLSM invariants which applies whenever the evaluation maps from the moduli space are proper, and includes insertions from light marked points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_12360 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Towards a mirror theorem for GLSMs Shoemaker, Mark Algebraic Geometry Mathematical Physics 14N35, 53D45, 14J33 We propose a method for computing generating functions of genus-zero invariants of a gauged linear sigma model $(V, G, θ, w)$. We show that certain derivatives of $I$-functions of quasimap invariants of $[V //_θG]$ produce $I$-functions (appropriately defined) of the GLSM. When $G$ is an algebraic torus we obtain an explicit formula for an $I$-function, and check that it agrees with previously computed $I$-functions in known special cases. Our approach is based on a new construction of GLSM invariants which applies whenever the evaluation maps from the moduli space are proper, and includes insertions from light marked points. |
| title | Towards a mirror theorem for GLSMs |
| topic | Algebraic Geometry Mathematical Physics 14N35, 53D45, 14J33 |
| url | https://arxiv.org/abs/2108.12360 |