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PreprintCC BY 4.0arXiv

Virasoro Constraints for Orbifold Curves

Abstract

We prove the Virasoro constraints for the relative Gromov--Witten theory of all smooth projective effective orbifold curves, allowing relative conditions at ordinary points. The absolute Jiang--Tseng Virasoro conjecture for smooth projective effective orbifold curves follows as a corollary.

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BibTeX
@misc{hu2026virasoro,
  title = {{Virasoro Constraints for Orbifold Curves}},
  author = {Jianxun Hu and Pengrong Jin and Hua-Zhong Ke and Jingwei Lu and Hsian-Hua Tseng and Longting Wu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.01300},
  eprint = {2609.01300},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.01300},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Virasoro Constraints for Orbifold Curves
AU  - Jianxun Hu
AU  - Pengrong Jin
AU  - Hua-Zhong Ke
AU  - Jingwei Lu
AU  - Hsian-Hua Tseng
AU  - Longting Wu
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.01300
UR  - https://arxiv.org/abs/2609.01300
AB  - We prove the Virasoro constraints for the relative Gromov--Witten theory of all smooth projective effective orbifold curves, allowing relative conditions at ordinary points. The absolute Jiang--Tseng Virasoro conjecture for smooth projective effective orbifold curves follows as a corollary.
ER  -