Intrinsic mirror symmetry for orbifold cubic surfaces and the A₁ spherical DAHA

@misc{bousseau2026intrinsic,
  title = {{Intrinsic mirror symmetry for orbifold cubic surfaces and the $A_1$ spherical DAHA}},
  author = {Pierrick Bousseau and Sayan Chattopadhyay},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.38556},
  eprint = {2609.38556},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.38556},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Intrinsic mirror symmetry for orbifold cubic surfaces and the A_1 spherical DAHA
AU  - Pierrick Bousseau
AU  - Sayan Chattopadhyay
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.38556
UR  - https://arxiv.org/abs/2609.38556
AB  - We determine the intrinsic mirror of an orbifold cubic surface with three nodes and interpret the resulting geometry through mirror symmetry between the PGL(2,ℂ) and SL(2,ℂ) character varieties of the once-punctured torus. We further construct a quantization of the mirror using higher genus Gromov-Witten theory and show that it recovers the A_1 spherical double affine Hecke algebra.
ER  -