20 citations · 31 across the 6 of their papers we have counts for
11 papers
The log term of Szego Kernel
Zhiqin Lu, Gang Tian
In this paper, we study the relations between the log term of the Szegö kernel of the unit circle bundle of the dual line bundle of an ample line bundle over a compact Kählermanifo…
On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
Jie Qing, Gang Tian
In this note we study constant mean curvature surfaces in asymptotically flat 3-manifolds. We prove that, in an asymptotically flat 3-manifold with positive mass, stable spheres of…
A compactification of the moduli space of twisted holomorphic maps
Ignasi Mundet i Riera, Gang Tian
We construct a compactification of the moduli space of twisted holomorphic maps with varying complex structure and bounded energy. For a given compact symplectic manifold with…
The Singular Set of 1-1 Integral Currents
Tristan Riviere, Gang Tian
We prove that 2 dimensional Integral currents (i.e. integer multiplicity 2 dimensional rectifiable currents) which are almost complex cycles in an almost complex manifold admitting…
On the holomorphicity of genus two Lefschetz fibrations
Bernd Siebert, Gang Tian
We prove that any genus-2 Lefschetz fibration without reducible fibers and with ``transitive monodromy'' is holomorphic. The latter condition comprises all cases where the number o…
Geometry and nonlinear analysis
Gang Tian
Nonlinear analysis has played a prominent role in the recent developments in geometry and topology. The study of the Yang-Mills equation and its cousins gave rise to the Donaldson…