320 citations · 844 across the 35 of their papers we have counts for
7 papers · 1 filter
Comparison of the algebraic and the symplectic Gromov-Witten invariants
Jun Li, Gang Tian
We show that the algebraic and the symplectic GW-inivariants of smooth projective varieties are equivalent.
Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds
Jun Li, Gang Tian
We construct Gromov-Witten invariants of general symplectic manifolds.
Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
Jun Li, Gang Tian
We introduce a method of constructing the virtual cycle of any scheme associated with a tangent-obstruction complex. We apply this method to constructing the virtual moduli cycle o…
Higher genus symplectic invariants and sigma model coupled with gravity
Yongbin Ruan, Gang Tian
We define higher genus Gromov-Witten invariants and establish a mathematical theory of sigma model coupled with gravity over any semi-positive symplectic manifolds. As applications…
The quantum cohomology of homogeneous varieties
Jun Li, Gang Tian
We established the associativity of the quantum cohomologies of homogeneous varieties by using degeneration method in algebraic geometry.
Recursive relations for the cohomology ring of moduli spaces of stable bundles
B. Siebert, G. Tian
The authors learnt that similar results have been independently found by D.Zagier, V.Baranovsky and V.Balaji/A.King/P.Newstead. The corresponding references have been added (and so…