Gang Tian is a Chinese-American differential geometer. With Yongbin Ruan, he is one of the pioneers of differential geometric formalization of quantum cohomology.
Introducing a mathematical definition of quantum cohomology rings:
Yongbin Ruan, Gang Tian, A mathematical theory of quantum cohomology, Mathematical Research Letters 1 2 (1994) 269-278 [doi:10.4310/MRL.1994.v1.n2.a15, pdf]
Bernd Siebert, Gang Tian, On Quantum Cohomology Rings of Fano Manifolds and a Formula of Vafa and Intriligator, Asian Journal of Mathematics 1 4 (1997) 679 – 695 [arXiv:alg-geom/9403010, doi:10.4310/AJM.1997.v1.n4.a2]
Related work on technique of virtual classes
Jun Li, Gang Tian, Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties, J. Amer. Math. Soc. 11 (1998) 119-174 doi
Yongbin Ruan, Gang Tian, A mathematical theory of quantum cohomology, J. Diff. Geometry 42 2 (1995) 259-367 [doi:10.4310/jdg/1214457234]
On special holonomy:
A monograph on Perelman’s solution of geometrization conjecture is
Last revised on July 5, 2023 at 17:31:27. See the history of this page for a list of all contributions to it.