On equivariant Gromov–Witten invariants of resolved conifold with diagonal and anti-diagonal actions

Letters in Mathematical Physics - Tập 112 - Trang 1-30 - 2022
Si-Qi Liu1, Di Yang2, Youjin Zhang1, Chunhui Zhou3
1Department of Mathematical Sciences, Tsinghua University, Beijing, People’s Republic of China
2School of Mathematical Sciences, University of Science and Technology of China, Hefei, People’s Republic of China
3Institute of Geometry and Physics, University of Science and Technology of China, Hefei, People’s Republic of China

Tóm tắt

We propose two conjectural relationships between the equivariant Gromov–Witten invariants of the resolved conifold under diagonal and anti-diagonal actions and the Gromov–Witten invariants of $$\mathbb {P}^1$$ and verify their validity in genus zero approximation. We also provide evidences to support the validity of these relationships in genus one and genus two.

Tài liệu tham khảo

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