nLab Gang Tian

Selected writings

Gang Tian is a Chinese-American differential geometer. With Yongbin Ruan, he is one of the pioneers of differential geometric formalization of quantum cohomology.

Selected writings

Introducing a mathematical definition of quantum cohomology rings:

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:

  • Jeff Cheeger, Gang Tian, Anti-self-duality of curvature and degeneration of metrics with special holonomy, Commun. Math. Phys. 255, 391–417 (2005) doi
  • Paolo de Bartolomeis, Gang Tian, Stability of complex vector bundles, J. Diff. Geometry 43:2 (1996) pdf

A monograph on Perelman’s solution of geometrization conjecture is

  • John W. Morgan, Gang Tian, Ricci Flow and the Poincare Conjecture, Clay Mathematics Monographs 3, 2007 By
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Last revised on July 5, 2023 at 17:31:27. See the history of this page for a list of all contributions to it.