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PreprintarXiv licencearXiv

Quantum invariance under non-smooth toric flops of the simplest type

Abstract

For a non-smooth toric flop of the simplest type, we provide the quantum product formulas and construct the degree−preserving quantum correspondence via generalized analytic continuation which is achieved through a regularization map. Moreover, the generating functions of Gromov--Witten invariants with ancestors are invariant for all genera.

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BibTeX
@misc{chen2026quantum,
  title = {{Quantum invariance under non-smooth toric flops of the simplest type}},
  author = {Tsung-Chen Chen and Jia-Hua Chong and Hui-Wen Lin},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.24066},
  eprint = {2608.24066},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.24066},
}
RIS
TY  - UNPB
TI  - Quantum invariance under non-smooth toric flops of the simplest type
AU  - Tsung-Chen Chen
AU  - Jia-Hua Chong
AU  - Hui-Wen Lin
PY  - 2026
DA  - 2026/09/04
PB  - arXiv
DO  - 10.48550/arxiv.2608.24066
UR  - https://arxiv.org/abs/2608.24066
AB  - For a non-smooth toric flop of the simplest type, we provide the quantum product formulas and construct the degree−preserving quantum correspondence via generalized analytic continuation which is achieved through a regularization map. Moreover, the generating functions of Gromov--Witten invariants with ancestors are invariant for all genera.
ER  -