Publications

2026

1. preprint

   Non-finitely generated $(\mathbb{Z}_2)^k$-equivariant bordism ring

   Yuanxin Guan and Zhi Lü

   2026

   Bib

   @misc{GuanLu2026,
     title = {Non-finitely generated $(\mathbb{Z}_2)^k$-equivariant bordism ring},
     author = {Guan, Yuanxin and Lü, Zhi},
     year = {2026},
     eprint = {2601.13807},
     archiveprefix = {arXiv},
     primaryclass = {math.AT},
     url = {https://arxiv.org/abs/2601.13807}
   }

2. preprint

   Equivariant Milnor map

   Mathilda Campillo, Yuanxin Guan, Zhi Lü, and Bernardo Uribe

   2026

   Bib

   @misc{GCLU2026,
     title = {Equivariant Milnor map},
     author = {Campillo, Mathilda and Guan, Yuanxin and Lü, Zhi and Uribe, Bernardo},
     year = {2026},
     eprint = {2606.12697},
     archiveprefix = {arXiv},
     primaryclass = {math.AT},
     url = {https://arxiv.org/abs/2606.12697}
   }

3. preprint

   On the toric lifting properties for simplicial 3-spheres

   Suyoung Choi, Yuanxin Guan, Hyeontae Jang, and Zhi Lü

   2026

   Bib

   @misc{CGJL2026,
     title = {On the toric lifting properties for simplicial 3-spheres},
     author = {Choi, Suyoung and Guan, Yuanxin and Jang, Hyeontae and Lü, Zhi},
     year = {2026},
     eprint = {2607.18706},
     archiveprefix = {arXiv},
     primaryclass = {math.AT},
     url = {https://arxiv.org/abs/2607.18706}
   }

2025

1. Math. Z.

   Equivariant bordism classification of five-dimensional $(\mathbb{Z}_2)^3$-manifolds with isolated fixed points

   Yuanxin Guan and Zhi Lü

   Math. Z., 2025

   DOI Bib

   @article{GuanLu2025,
     author = {Guan, Yuanxin and Lü, Zhi},
     title = {Equivariant bordism classification of five-dimensional $(\mathbb{Z}_2)^3$-manifolds with isolated fixed points},
     journal = {Math. Z.},
     fjournal = {Mathematische Zeitschrift},
     volume = {311},
     year = {2025},
     number = {2},
     pages = {Paper No. 28, 21},
     issn = {0025-5874,1432-1823},
     mrclass = {55N22 (15A03 55M35 57R85 57R91)},
     mrnumber = {4938977},
     doi = {10.1007/s00209-025-03823-6},
     url = {https://doi.org/10.1007/s00209-025-03823-6}
   }