922 citations · 7.2k across the 348 of their papers we have counts for
6 papers · 1 filter
The fixed points in Quot-schemes and mirror principle computations
Bong H. Lian, Chien-Hao Liu, Kefeng Liu +1
We describe the -action on the Quot-scheme $\Quot({\cal E}^n)$ associated to the trivial bundle ${\cal E}^n=CP^1\times{\smallBbb C}^n$. In particlular, the topology of the $S^…
HyperKähler Manifolds and Birational Transformations
Yi Hu, S. -T. Yau
In this paper we study the birational geometry of HyperKaehler manifolds by combining the method of minimal model program and the traditional approach of symplectic geometry.
Geometry of three manifolds and existence of Black Hole due to boundary effect
Shing-Tung Yau
In this paper, we observe that the brane functional studied in hep-th/9910245 can be used to generalize some of the works that Schoen and I [4] did many years ago. The key idea is…
Decay Rates and Probability Estimates for Massive Dirac Particles in the Kerr-Newman Black Hole Geometry
Felix Finster, Niky Kamran, Joel Smoller +1
The Cauchy problem is considered for the massive Dirac equation in the non-extreme Kerr-Newman geometry, for smooth initial data with compact support outside the event horizon and…
Special Lagrangians, stable bundles and mean curvature flow
R. P. Thomas, S. -T. Yau
We make a conjecture about mean curvature flow of Lagrangian submanifolds of Calabi-Yau manifolds, expanding on \cite{Th}. We give new results about the stability condition, and pr…
Fibrewise T-Duality for D-Branes on Elliptic Calabi-Yau
Bjorn Andreas, Gottfried Curio, Daniel Hernandez Ruiperez +1
Fibrewise T-duality (Fourier-Mukai transform) for D-branes on an elliptic Calabi-Yau is shown to require naturally an appropriate twisting of the operation respectively a twist…