Papers

Most papers and preprints listed below can be found here (My preprints in arXiv )

1. A degeneration formula of Donaldson-Thomas theory on Calabi-Yau 4-folds, (with G. Zhao and Z. Zhou),

arXiv:2402.16103.

2. Quasimaps to quivers with potentials, (with G. Zhao),

arXiv:2306.01302.

3. A Donaldson-Thomas crepant resolution conjecture on Calabi-Yau 4-folds, (with M. Kool and S. Monavari), 

Transactions of the American Mathematical Society, 376 (2023), no. 11, 8225-8268. arXiv:2301.11629.

4. Stable pairs and Gopakumar-Vafa type invariants on holomorphic symplectic 4-folds, (with G. Oberdieck and Y. Toda)

Advances in Mathematics, 408 (2022) 108605, 44 pages. arXiv: 2201.11540.

5. Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds, (with G. Oberdieck and Y. Toda)

Communications in Mathematical Physics 405 (2024), no. 26. arXiv:2201.10878.

6. Yang-Mills theories on geometric spaces

Reviews in Mathematical Physics, 34 (2022), no. 1, Paper No. 2230001, 18 pp.

7. Tautological Hilbert scheme invariants of Calabi-Yau 4-folds via virtual pullback, (with F. Qu)

arXiv:2012.04415.

8. Counting perverse coherent systems on Calabi-Yau 4-folds, (with Y. Toda), 

Mathematische Annalen 385 (2023), no. 3-4, 1-51. arXiv:2009.10909.

9. Tautological stable pair invariants of Calabi-Yau 4-folds, (with Y. Toda),

Advances in Mathematics 396 (2022) 108176, 44 pages. arXiv:2009.03553.

10. Stable pair invariants of local Calabi-Yau 4-folds, (with M. Kool and S. Monavari), 

International Mathematics Research Notices 2022, no. 6, 4753-4798. arXiv:2004.09355.

11. Gopakumar-Vafa type invariants on Calabi-Yau 4-folds via descendent insertions, (with Y. Toda),

Communications in Mathematical Physics, 383 (2021), no. 1, 281-310.  arXiv:2003.00787.

12. Curve counting via stable objects in derived categories of Calabi-Yau 4-folds, (with Y. Toda),

Advances in Mathematics, 406 (2022) 108531, 58 pages. arXiv:1909.04897.

13. K-theoretic DT/PT correspondence for toric Calabi-Yau 4-folds, (with M. Kool and S. Monavari), 

Communications in Mathematical Physics, 396 (2022), no. 1, 225–264. arXiv:1906.07856.

14. Curve counting and DT/PT correspondence for Calabi-Yau 4-folds, (with M. Kool), 

Advances in Mathematics, 375 (2020) 107371, 49 pages. arXiv:1903.12171.

15. Stable pairs and Gopakumar-Vafa type invariants for Calabi-Yau 4-folds,  (with D. Maulik and Y. Toda),

Journal of the European Mathematical Society 24 (2022), no. 2, 527-581. arXiv:1902.00003.

16. Orientability of moduli spaces of Spin(7)-instantons and coherent sheaves on Calabi-Yau 4-folds, (with J. Gross, D. Joyce)

Advances in Mathematics, 368 (2020) 107134, 60 pages. arXiv:1811.09658, v2.

17. Curve counting on An×C2,

Pure and Applied Mathematics Quarterly (Special Issue in Honor of Prof. Kyoji Saito’s 75th Birthday), vol. 16, No. 3 (2020), pp. 659-674. 

18. Counting zero-dimensional subschemes in higher dimensions, (with M. Kool), 

Journal of Geometry and Physics, 136 (2019) 119-137. arXiv:1805.04746.

19. Counting conics on sextic 4-folds, 

Mathematical Research Letters, 26 (2019), no. 5, 1343-1357. arXiv:1805.04696.

20. Genus zero Gopakumar-Vafa type invariants for Calabi-Yau 4-folds II: Fano 3-folds, 

Communications in Contemporary Mathematics, 22 (2020), no. 7, 1950060, 25 pages. arXiv:1801.06130.

21. Genus zero Gopakumar-Vafa type invariants for Calabi-Yau 4-folds, (with D. Maulik and Y. Toda), 

Advances in Mathematics, 338 (2018), 41-92. arXiv:1801.02513.

22. Zero dimensional Donaldson-Thomas invariants of Calabi-Yau 4-folds, (with M. Kool), 

Advances in Mathematics, 338 (2018), 601-648. arXiv:1712.07347.

23. Remarks on Kawamata's effective non-vanishing conjecture for manifolds with trivial first Chern classes, (with C. Jiang), 

Mathematische Zeitschrift, 296 (2020), 615-637. arXiv:1612.00184. 

24. Mukai flops and Plucker type formulas for hyper-Kahler manifolds, (with N. C. Leung), 

Proceedings of the American Mathematical Society, 148 (2020), no. 10, 4119- 4135. arXiv:1510.05889. 

25. Remarks on mirror symmetry of Donaldson-Thomas theory for Calabi-Yau 4-folds, (with N. C. Leung), 

"Tsinghua Lectures in Mathematics", Adv. Lect. Math. 45, (2018), Higher Education Press. arXiv:1506.04218. 

26. Relative Donaldson-Thomas theory for Calabi-Yau 4-folds, (with N. C. Leung), 

Transactions of the American Mathematical Society, 369 (2017), 6631- 6659. arXiv:1502.04417.

27. Orientability for gauge theories on Calabi-Yau manifolds, (with N. C. Leung), 

Advances in Mathematics, 314 (2017), 48-70. arXiv:1502.01141.

28. Donaldson-Thomas theory for Calabi-Yau 4-folds, (with N. C. Leung), 

arXiv:1407.7659.