Department of Mathematics

Yat Sun Poon Publications

Technical Publications

Journal Articles

1. Poon, Y. 1986. Compact Self-Dual Manifolds With Positive Scalar Curvature. J. Differential Geom. Vol. 24: p.97-132. (Refereed)  

2. Poon, Y. 1988. Algebraic Dimension of Twistor Spaces. Math. Ann. Vol. 282: p.621-627. (Refereed)  

3. Poon, Y., Pedersen, H. 1988. Hyper-Kahler Metrics and a Generalization of the Bogomolny Equations. Commun. Math. Phys. Vol. 117: p.569-580. (Refereed)  

4. Poon, Y., LeBrun, C., Wells, Jr, R. 1990. Projective Embeddings of Complex Supermanifolds. Commun. Math Phys. Vol. 126: p.433-452. (Refereed)  

5. Poon, Y., Pedersen, H. 1990. Kahler surfaces with zero scalar curvature. Class. Quantum Grav. Vol. 7: p.1707-1719. (Refereed)  

6. Poon, Y. 1991. Twistor Spaces with Meromorphic Functions. Proceedings of the American Mathematical Society. Vol. 111: p.331-338. (Refereed)  

7. Poon, Y., Salamon, S. 1991. Quaternionic Kahler 8-Manifolds with Positive Scalar Curvature. J. Differential Geometry. Vol. 33: p.363-378. (Refereed) 

8. Poon, Y., Pedersen, H. 1991. Hamiltonian constructions of Kahler-Einstein metrics and Kahler metrics of constant scalar curvature. Comm. Math. Phys. p.309-326. (Refereed) 

9. Poon, Y., Galicki, K. 1991. Duality and Yang-Mills Fields on Quaternionic Kahler Manifolds. J. Math. Phys. p.1263-1268. (Refereed)  

10. Poon, Y., LeBrun, C. 1992. Twistors, Kahler Manifolds, and Bimeromorphic Geometry II. J. Amer. Math. Soc. p.317-325. (Refereed)  

11. Poon, Y. 1992. On the Algebraic Structure of Twistor Spaces. J. Differential Geom. p.451-491. (Refereed)  

12. Poon, Y., Pedersen, H., Swann, A. 1993. The Einstein-Weyl equations in complex and quaternionic geometry. Differential Geom. Appl. p.309-321. (Refereed)  

13. Poon, Y. 1994. Conformal Transformations of Compact Self-Dual Manifolds. Internat. J. Math. p.125-140. (Refereed)  

14. Poon, Y., Pedersen, H., Swann, A. 1994. The Hitchin-Thorpe Inequality for Einstein-Weyl Manifolds. Bull. London Math. Soc. p.191-194. (Refereed)  

15. Poon, Y., Pedersen, H. 1994. Self-Duality and Differentiable Structures on the Connected Sum of Complex Projective Planes. Proc. Amer. Math. Soc. p.859-864. (Refereed)  

16. Pedersen, H., Poon, Y. 1994. A Relative Deformation of Moishezon Twistor Spaces. J. Algebraic Geom. p.685-701. (Refereed)  

17. Pedersen, H., Poon, Y. 1995. Equivariant Connected Sums of Compact Self-Dual Manifolds. Math. Ann. p.717-749. (Refereed)  

18. Poon, Y., Swann, A. 1995. Generalised Connected Sums of Quaternionic Manifolds. Ann. Global Anal. Geom. p.79-90. (Refereed)  

19. Poon, Y. 1996. Torus Symmetry of Compact Self-Dual Manifolds. Geom. Dedicata. p.49-64. (Refereed)  

20. Pedersen, H., Poon, Y., Swann, A. 1996. Einstein-Weyl Deformations and Submanifolds. Internat. J. Math. p.705-719. (Refereed)  

21. Madsen, A., Pedersen, H., Poon, Y., Swann, A. 1997. Compact Einstein-Weyl Manifolds With Large Symmetry Group. Duke Math. p.407-434. (Refereed)  

22. Poon, Y. 1997. Adjunction Mappings on Numerical Quadrics. Math. Scand. p.161-174. (Refereed)  

23. Pedersen, H., Poon, Y. 1998. Deformations of Hypercomplex Structures. J. Reine Angew. p.81-99. (Refereed)  

24. Pedersen, H., Poon, Y., Swann, A. 1998. Hypercomplex structures associated to quaternionic manifolds. Differential Geom. Appl. p.273-292. (Refereed)  

25. Pedersen, H., Poon, Y. 1999. Inhomogeneous Hypercomplex Structures on Homogeneous Manifolds. J. Reine Angew. Math. p.516. (Refereed)  

26. Madsen, A., Pedersen, H., Poon, Y., Swann, A. 1999. Corrigendum: Compact Einstein-Weyl Manifolds with Large Symmetry Group". Duke Math. J. p.167. (Refereed)  

27. Poon, W., Poon, Y. 1999. Conformal Normal Curvature and Assessment of Local Influence. J.R. Stat. Soc. Ser. B Stat. Methodol. p.51-61. (Refereed)  

28. Pedersen, H., Poon, Y. 1999. A Note on Rigidity of 3-Sasakian Manifolds. Proc. Amer. Math. Soc. p.3027-3034. (Refereed)  

29. Pedersen, H., Poon, Y. 1999. Connected Sums of Self-Dual Manifolds and Equivariant Relative Smoothings. Pacific J. Math. p.145-171. (Refereed)  

30. Pedersen, H., Poon, Y. 1999. Decomposable Self-dual Manifolds. Differential Geom Appl. Vol. 10: p. 107-119. (Refereed)

31. Grantcharov, G., Poon, Y. 2000. Geometry of Hyper-Kahler Connections with Torsion. Comm. Math. Phys. p.19-37. (Refereed)  

32. Poon, W., Lew, S., Poon, Y. 2000. A Local Influence Approach to Identifying Multiple Multivariate Outlier. British J. Math. Stat. Psychology. p.255-273. (Refereed)  

33. Poon, Y., Swann, A. 2001. Potential Functions of HKT Spaces. Classical Quantum Gravity. p.4711-4714. (Refereed)  

34. Poon, W., Poon, Y. 2001. Conditional Local Influence in Case-Weights Linear Regression. British J. Math. Stat. Psychology. p.177-191. (Refereed)  

35. Poon, W., Poon, Y. 2002. Influential Observations in the Estimation of Mean Vector and Covariance Matrix. British J. Math. Statist. Psych. p.177-192. (Refereed)  

36. Grantcharov, G., Papadopoulos, G., Poon, Y. 2002. Reduction of HKT-structures. J. Math. Phys. p.3766-3782. (Refereed)  

37. Poon, W., Poon, Y. 2002. Total Behavior of Likelihood Displacement. Statist. Sinica. p.599-607. (Refereed)  

38. Poon, Y., Swann, A. 2003. Superconformal Symmetry and Hyper-Kahler Manifolds with Torsion. Comm. Math. Phys. p.177-189. (Refereed)  

39. Ornea, L., Poon, Y., Swann, A. 2003. Potential 1-forms for hyper-Kahler structures with torsion. Classical Quantum Gravity. p.1845-1856. (Refereed)  

40. Grantcharov, G., McLaughlin, C., Pedersen, H., Poon, Y. 2004. Deformations of Kodaira Manifolds. Glasg. Math. J. p.259-281. (Refereed)  

41. Fino, A., Pedersen, H., Poon, Y., Sorensen, M. 2004. Neutral Calabi-Yau Structures on Kodaira Manifolds. Comm. Math. Phys. p.255-268. (Refereed)  

42. Maclaughlin, C., Pedersen, H., Salamon, S. 2006. Deformation of 2-step Nilmanifolds with Abelian Complex Structures. J. London Math. Soc. p.173-193. (Refereed)  

43. Poon, Y. 2006. Extended deformation of Kodaira surfaces. J Reine Angew. Math. p.45-65. (Refereed)  

44. Console, S., Fino, A., Poon, Y. 2006. Stability of Abelian Complex Structures. Internat. J. Math. p.401-416. (Refereed)  

45. Poon, Y., Poon, W. 2007. Local Conditional Influence. J. Applied Statistics. p.997-1009. (Refereed)     

46. Grantcharov, D., Grantcharov, G., Poon, Y. 2008. Calabi-Yau Connections with Torsion on Toric Bundles. J. Differential Geometry. p. 13-32. (Refereed)  

47. Grantcharov, G., Pedersen, H., Poon, Y.2008. Deformations of hypercomplex structures associated to Heiesnberg groups. Quart. J. Math. p.335-362. (Refereed)  

48. Clayton, R., Poon, Y. 2008. Differential Gerstenhaber Algebras Associated to Nilpotent Algebras. Asian J. Math. Vol. 12: p.225-250. (Refereed)

49. Clayton, R., Lauret, J., Poon, Y. 2010. Weak Mirror Symmetry of Lie Algebras. Journal of Symplectic Geometry. Vol. 8, Issue 1: p.37-55. (Refereed)

50. Poon, Y., Wade, A. 2010. Lie Bialgebroids of generalized CRF Manifolds. C. R. Acad. Sci. Paris Ser. I. Vol. 348: p.919-922. (Refereed)

51. Poon, Y., Wade, A. 2010. Approaches to Generalize Contact Structures. Pure and Applied Mathematics Quarterly. Vol. 6, Issue 2: p.603-622. (Refereed)

52. Clayton, R., Poon, Y. 2011. Weak Mirror Symmetry of Complex Symplectic Lie Algebras. Journal of Geometry and Physics. Vol. 61:  p.1553-1563. (Refereed)

53. Poon, Y., Wade, Aissa. 2011. Generalized Contact Structures. Journal of the London Mathematical Society. Vol. 83: Issue 2, p. 333-352. (Refereed)

54. Poon, Y. Poon, W. 2012. Application of Elementary Differential Geometry to Influence Analysis. Ed. First. International Press. Boston, U.S.A. p.174. 174p. ISBN: 978-7-04-035700-4. (Refereed)

55. Grandini, D., Poon, Y., & Rolle, B. 2014. "Differential Gerstenhaber algebras of generalized complex structures". Asian J. Math. Vol 8, No. 2, pp. 1991-218. (Refereed)

56. Chen, Z., Grandini, D., Poon, Y. 2015. Holomorphic Poisson Cohomology. Complex Manifolds. Vol. 2: p.34--52. 16p. (Refereed)

57. Li, S., Poon, Y. 2015. 60 Years of Calabi conjecture. Nuclear Physics B. Vol. 898: p.659--660. 2p. (Refereed)

58. Chen, Z., Fino, A., Poon, Y. 2016. Holomorphic Poisson Structure and its Cohomology on Nilmanifolds. Differential Geometry and its Applications. Vol. 44: p.144-160. 16p. (Refereed)


Conference and Symposia Proceedings

1. Pedersen, H., Poon, Y. 1988. "Twistorial Construction of Quaternionic Manifolds". Proceedings of the Sixth International Colloquium of Differential Geometry. p.207-218. (Refereed, )  

2. Poon, Y. 1989. "Self-Duality, Twistor Theory, Its Generalization and Application". Contemporary Mathematics. p.125-146. (Refereed, )  

3. LeBrun, C., Poon, Y. 1990. "Self-Dual Manifolds with Symmetry". Amer. Math. Soc., Providence, RI. p.365-377. (Refereed, )  

4. Poon, Y. 1996. "Decomposable Self-Dual Manifolds". Geo & Physics, Proceedings of the Conference on Geometry and Physics, Aarhus, Denmark. p.299-306. (Refereed, )  

5. Poon, Y. 2000. "Examples of Hyper-Kahler Connections with Torsion". Proceedings of the Second Meeting on quaternionic Structures in Mathematics and Physics, Roma, 1999. p.321-327. (Refereed, ) 

6. Poon, Y. 2008. "Differential Geometry in Local Influence Analysis". China is International Press. p.123-130. International Congress of Chinese Mathematicians 2007. Hangzhou, China . (Refereed)  

7. Poon, Y. 2008. "Weak Mirror Symmetry of Nilmanifolds, Complex Geometry in Osaka 2008". Osaka University. p.10-22. Complex Geometry 2008. Osaka. (Refereed)  

Non-Technical Publications

Journal Articles

1. Wong, B., Poon, Y. 2007. Visibility of Asian Americans in Mathematics. Notices Amer. Math. Soc. p.6. (Non-Refereed) 

2. Poon, Y. 2013. The Mathematical Sciences Center of Tsinghua University. Notices of the International Congress of Chinese Mathematicians. Vol. 1: 1 p.87--95. 8p. (Refereed)

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