Publications
Published
Kydonakis, Georgios, Hao Sun, and Lutian Zhao. Poisson structures on moduli spaces of Higgs bundles over stacky curves. arXiv preprint arXiv:2008.12518 (2020), to appear in Advances in Geometry (2023).
Kydonakis, Georgios, Hao Sun, and Lutian Zhao. Logahoric Higgs torsors for a complex reductive group. Mathematische Annalen (2023): 1-46.
Kydonakis, Georgios, Hao Sun, and Lutian Zhao. Monodromy of rank 2 parabolic Hitchin systems. Journal of Geometry and Physics 171 (2022): 104411.
Kydonakis, Georgios, Hao Sun, and Lutian Zhao, The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs V-bundles and components of parabolic Sp(2n,R)-Higgs moduli spaces. Transactions of the AMS. 374, no. 6 (2021): 4023-4057.
Kydonakis, Georgios, Hao Sun, and Lutian Zhao, Topological invariants of parabolic G-Higgs bundles, Mathematische Zeitschrift (2020): 1-48.
Gong, Hongyu, Luoyi Fu, Xinzhe Fu, Lutian Zhao, Kainan Wang, and Xinbing Wang, Distributed Multicast Tree Construction in Wireless Sensor Networks, in IEEE Transactions on Information Theory, vol. 63, no. 1, pp. 280-296, Jan. 2017.
Under Review
Huang, Pengfei, Georgios Kydonakis, Hao Sun, and Lutian Zhao. Tame parahoric nonabelian Hodge correspondence on curves. arXiv preprint arXiv:2205.15475 (2022).
Zhao, Lutian. Gopakumar-Vafa Invariants and Macdonald Formula. arXiv preprint arXiv:2306.05547 (2023).
In Progress
Kydonakis, Georgios and Lutian Zhao, Complete Integrability of parahoric Hitchin system.
Huang, Pengfei, Georgios Kydonakis, Hao Sun, and Lutian Zhao. Mirror symmetry for parahoric integrable systems
Gholampour, Amin and Lutian Zhao. Vafa-Witten Invariants on Local Curves
Ph.D Thesis
Zhao,Lutian. Gopakumar-Vafa Invariants and Macdonald Formula