学术论文

 Publications:  Some papers on arXiv: https://arxiv.org/a/du_c_3.html


英文

19. Bohui Chen, Cheng-Yong Du*. On weighted-blowup formulae of genus zero orbifold Gromov--Witten invariants,  preprint 2022-4-28. 

      Compositio Mathematica, Vol. 159, Issue 9, pp. 1833--1871, September, 2023, Published 19 July 2023.

18. Bohui Chen, Cheng-Yong Du*, A-Li Liao. Banach orbifold structure on groupoids of morphisms of orbifolds, preprint 2022-7-18. 

      Differential Geometry and its Applications, Vol. 87, Article 101975, April 2023. On line 2023-1-25.

17. Cheng-Yong Du*, Kaimin He, Han Xue. On triangulations of orbifolds and formality, preprint 2022-04-05, 

       Annals of Global Analysis and Geometry, Vol. 62, Issue 4, pp. 829--845, November, 20228 Sep online.

16. Bohui Chen, Cheng-Yong Du*, Rui Wang. Double ramification cycles with orbifold targetsarXiv:2008.06484

       Acta Mathematica Sinica, English Series, Vol. 38, Issue 8, pp. 1333--1376, 25 August 2022.

15. A-Li Liao, Cheng-Yong Du*. On Morse--Smale--Witten type cohomologies for orbifolds, preprint 2020, 

       Topology and its Applications,"Special issue for the proceedings of the Third PPICTA", Vol. 301, September 2021, Article No. 107527.

14. Bohui Chen, Cheng-Yong Du*, Rui Wang. Orbifold Gromov--Witten theory of weighted blowupsarXiv:2009.06144

       Science China Mathematics, Vol. 63, Issue 12, pp. 2475--2522, December 2020. 

13Cheng-Yong Du, Ti-Yao Li. Chen--Ruan cohomology and stringy orbifold K-theory for stable almost complex orbifolds

       Chinese Annals of Mathematics, Series B, Vol. 41, No. 5, pp. 741--760, 29 September 2020. Published pdf version

12. Bohui Chen, Cheng-Yong Du*, Ti-Yao Li. A new equivariant cohomology ringarXiv:1811.11506

       Mathematische Zeitschrift, Vol. 295, Issue 3--4, pp. 1163--1182, August 2020.

11. Bohui ChenCheng-Yong Du*, Yu WangOn fibrations of Lie groupoidsarXiv:1812.05432,

       Journal of Geometry and Physics, Vol. 152, Article 103644, (27 pages), June 2020.

10. Bohui Chen, Cheng-Yong Du*, Rui Wang. The groupoid structure of groupoid morphismsarXiv:1712.05094,

       Journal of Geometry and Physics, Vol. 145, Article 103486, (26 pages), November 2019.

  9. Bohui Chen, Cheng-Yong Du*, Jianxun Hu. Weighted-blowup correspondence of orbifold Gromov--Witten invariants and applicationsarXiv:1712.01478

     Mathematische Annalen, Vol. 374, Issue 3--4, pp. 1459--1523, August 2019.

  8. Cheng-Yong DuRelative Gromov--Witten invariants of projective completions of vector bundlesarXiv:1712.04121,

      Science China Mathematics, Vol. 62, No. 7, pp. 1429--1438,  July 2019.

  7Cheng-Yong Du, Lili Shen*, Xiaojuan Zhao.  Spark complexes on good effective orbifold atlases categoricallyarXiv: 1708.07551,

      Theory and Applications of Categories, Vol. 33, No. 26, 784--812, 21 August 2018.  

  6Cheng-Yong DuLefschetz property of Chen--Ruan cohomology ring and dδ--Lemma

      Archiv der Mathematik, Vol. 107, No. 5, pp. 473--485, November 2016. 

  5Cheng-Yong Du, Xiaojuan Zhao*. Spark and Deligne--Beilinson cohomology on orbifolds,

       Journal of Geometry and Physics, Vol. 104, pp. 277--290, June 2016

  4. Song Du, Bohui ChenCheng-Yong Du*, Xiaobin LiRuan cohomologies of the compactifications of resolved orbifold conifolds,

      Rocky Mountain Journal of Mathematics, Vol. 46, No. 3, pp. 863--893, May 2016. 

  3. Dong Zhang, Bohui Chen, Cheng-Yong Du*. A quantum modification of relative cohomology,

      International Journal of Geometric Methods in Modern Physics, Vol. 12, No. 2, Article 1550021 (14 pages), February 2015.

  2. Cheng-Yong Du, Bohui Chen*. A quantum modification of relative Chen--Ruan cohomology,

      Acta Mathematica Sinica, English Series, Vol. 31, No. 2, pp. 225--254, January 2015.

  1. Xiao Bin Li, Bo Hui Chen*, Cheng Yong Du.  A new gluing recursive relation for P^1-orbifold,

      Acta Mathematica Sinica, English Series, Vol. 29, No. 9, pp. 1757--1772, August 2013. 

  

中文

8. 黄开河, 陈洪宇, 杜承勇*. Central extension of the Lie algebra of Hamiltonian vector fields over orbifolds

   四川师范大学学报 (自然科学版). 第47卷, 第6期, 841--846, September 2024.

7. 陈洪宇, 黄开河, 薛涵, 杜承勇*. A note on the spark characters of smooth manifolds

   四川师范大学学报 (自然科学版). 第47卷, 第2期, 246--252, February 2024.

6. 杜承勇Weighted-blowup formulae of Gromov--Witten invariants along curves and surfaces (in Chinese), 

    中国科学:数学, 第53卷, 第1期, 65--80, January 2023.

5. 杜承勇李体耀*. Hodge structure on stringy cohomology (in Chinese)

    数学学报-中文版644, 637--654, July 2021. 

4杜承勇陈柏辉*, 王蕊Symplectic neighborhood theorem for symplectic orbifold groupoid (in Chinese)

    数学学报-中文版612, 217--232, March 2018.

3杜承勇Weighted blow-up of orbifold Gromov--Witten invariants of Riemannian surfaces along smooth points (in Chinese)

    中国科学:数学473,409--422, May 2017.

2杜承勇Weighted blow-up of orbifold Gromov--Witten invariants along smooth points (in Chinese)

    数学学报-中文版, 604, 689--704, July 2017

1杜承勇李晓斌*Computing one kind of local orbifold Gromov--Witten invariants (in Chinese)

    四川大学学报(自然科学版)495, 949--954, September 2012.

  

学位论文:

  1. 杜承勇一类 orbifold 局部 Gromov--Witten 不变量的计算四川大学硕士毕业论文四川大学数学学院微分几何, 2011.

  2. 杜承勇相对 Chen--Ruan 上同调的量子化四川大学博士毕业论文四川大学数学学院微分几何, 2014. 

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