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On A-twisted moduli stack for curves from Witten's gauged linear sigma models

Chien-Hao Liu Kefeng Liu Shing-Tung Yau

Algebraic Geometry mathscidoc:1912.43654

arXiv preprint math/0212316, 2002.12
Witten's gauged linear sigma model [Wi1] is one of the universal frameworks or structures that lie behind stringy dualities. Its A-twisted moduli space at genus 0 case has been used in the Mirror Principle [LLY] that relates Gromov-Witten invariants and mirror symmetry computations. In this paper the A-twisted moduli stack for higher genus curves is defined and systematically studied. It is proved that such a moduli stack is an Artin stack. For genus 0, it has the A-twisted moduli space of [MP] as the coarse moduli space. The detailed proof of the regularity of the collapsing morphism by Jun Li in [LLY: I and II] can be viewed as a natural morphism from the moduli stack of genus 0 stable maps to the A-twisted moduli stack at genus 0.
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@inproceedings{chien-hao2002on,
  title={On A-twisted moduli stack for curves from Witten's gauged linear sigma models},
  author={Chien-Hao Liu, Kefeng Liu, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204750813262218},
  booktitle={arXiv preprint math/0212316},
  year={2002},
}
Chien-Hao Liu, Kefeng Liu, and Shing-Tung Yau. On A-twisted moduli stack for curves from Witten's gauged linear sigma models. 2002. In arXiv preprint math/0212316. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204750813262218.
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