| (with Gang Tian) Adiabatic limits of gauged Witten equation
in progress |
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| arXiv link | 30. (with Shaoyun Bai, Egor Shelukhin, and Nicholas Wilkins) Quantum Steenrod powers and Hamiltonian maps
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| arXiv link | 29. (with Shaoyun Bai) Integral Hamiltonian Floer homology: foundation
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| arXiv link | 28. Reduced Gromov-Witten invariants without ghost bubble censorship |
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| arXiv link | 27. (with Shaoyun Bai and Daniel Pomerleano) Cohomological splitting over rationally connected bases
pending acceptance at Journal of Algegebraic Geometry |
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| arXiv link | 26. (with Gang Tian) Gauged linear sigma model in geometric phase. II. the virtual cycle
split and revised from 1809.00424, submitted |
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| arXiv link | 25. Quantum Kirwan map and quantum Steenrod operation
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| arXiv link | 24. (with Shaoyun Bai) Franks' dichotomy for toric manifolds, Hofer-Zehnder conjecture, and gauged linear sigma model
Submitted |
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| arXiv link | 23. (with Shaoyun Bai) Arnold conjecture over integers
Submitted |
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| arXiv link | 22. (with Shaoyun Bai) An integral Euler cycle in normally complex orbifolds and Z-valued Gromov-Witten type invariants
Submitted |
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| arXiv link | 21. (with Gang Tian) Counting pointlike instantons virtually without gluing
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| arXiv link | 20. (with Chris Woodward) An open quantum Kirwan map
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| arXiv link | 19. (with Gang Tian) Gauged linear sigma model in geometric phases. I.
Submitted |
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| Journal link | arXiv link | 18. (with Sushmita Venugopalan and Chris Woodward) Fukaya categories of blowups
Journal of the Institute of Mathematics of Jussieu (2025), 1--130 |
| In-book link | 18. Symplectic aspects of gauged (non)linear sigma model
Int. J. Mod. Phys. A Special Issue on Thirty Years of Gauged Linear Sigma Models, 39 (2024) no. 33, 2446017 |
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| Journal link | arXiv link | 17. Gluing affine vortices
Acta Mathematica Sinica, English series 40 (2024), 250--312 |
| Journal link | arXiv link | 16. A compactness theorem for SO(3) Anti-Self-Dual equation with translation symmetry
Advances in Mathematics 408 (2022) 108576 |
| Book Link | 15. (with Gang Tian) Gauged Witten equation and adiabatic limit
Integrability, Quantization, and Geometry (Dubrovin Memorial Volume) I: Integrable Systems Proceedings of Symposia in Pure Mathematics 103-I (2021), 503--514 |
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| Journal link | arXiv link | 14. (with Gang Tian) Virtual cycles of gauged Witten equation
Journal für die reine und angewandte Mathematik 771 (2021), 1--64 |
| Journal link | arXiv link | 13. (with Gang Tian) A wall-crossing formula and the invariance of GLSM correlation functions
Peking Mathematical Journal 3 (2020), 235--291 |
| Journal link | arXiv link | 12. (with Weiwei Wu) Gauged Floer homology and spectral invariants
International Mathematics Research Notices 2018, no. 13, 3959-4021 |
| Journal link | arXiv link | 11. (with Gang Tian) Analysis of gauged Witten equation
Journal für die reine und angewandte Mathematik 740 (2018), 187-274 | Journal link | arXiv link | 10. (with Sushmita Venugopalan) Local model for the moduli space of affine vortices
International Journal of Mathematics 29 (2018), no. 3, 1850020, 54pp |
| Journal link | arXiv link | 9. (with Dongning Wang) Compactness in adiabatic limit of disk vortices
Mathematische Zeitschrift 287 (2017) 405-459 |
| Journal link | arXiv link | 8. (with Gang Tian) The symplectic approach of gauged linear sigma model
Proceedings of the Gökova Geometry-Topology Conference 2016, 86-111 |
| Journal link | arXiv link | 7. (with Gang Tian) Correlation functions of gauged linear σ-model
Science China Mathematics 59 (2016), 823-838 |
| Journal link | arXiv link | 6. Gauged Hamiltonian Floer homology I: the definition of Floer homology groups
Transactions of the American Mathematical Socienty 368 (2016), no. 4, 2967-3015 |
| Journal link | arXiv link
(different title) |
5. Classification of U(1)-vortices with target C^N
International Journal of Mathematics 26 (2015), no. 13, 1550109, 20 pp |
| Journal link | arXiv link | 4. (with Stephen Schecter) Morse theory for Lagrange multipliers and adiabatic limits
Journal of Differential Equations 257 (2014) 4277-4318 |
| Journal link | arXiv link | 3. Moduli space of twisted holomorphic maps with Lagrangian boundary condition: compactness
Advances in Mathematics 242 (2013) 1-49 |
| Link | 2. Symplectic vortex equation and adiabatic limits
PhD thesis, Princeton University, June 2013 | |
| Journal link | arXiv link | 1. (with Huitao Feng and Weiping Zhang) Real embedding, η-invariant and Chern-Simons current
Pure and Applied Mathematics Quarterly 5 (2009), no. 3, Special Issue: In honor of Friedrich Hirzebruch. Part 2, 1113-1137 |