The positive mass theorem states that a complete asymptotically flat manifold of nonnegative scalar curvature has nonnegative mass and that equality is achieved only for the Euclidean metric. Theâ€¦ (More)

Heegaard Floer homology, first introduced by P. OzsvÃ¡th and Z. SzabÃ³ in [OS04b], associates to a 3-manifold Y a family of relatively graded abelian groups HF (Y, t), indexed by Spin structures t on Yâ€¦ (More)

The advent of Web-based services and cloud computing has instigated an explosive growth in demand for datacenters. Traditionally, Internet companies would lease datacenter space and servers fromâ€¦ (More)

The Positive Mass Theorem states that a complete asymptotically flat manifold of nonnegative scalar curvature has nonnegative mass. The Riemannian Penrose inequality provides a sharp lower bound forâ€¦ (More)

The Positive Mass Conjecture states that any complete asymptotically flat manifold of nonnnegative scalar curvature has nonnegative mass. Moreover, the equality case of the Positive Mass Conjectureâ€¦ (More)

Let M1 and M2 be special Lagrangian submanifolds of a compact Calabi-Yau manifold X that intersect transversely at a single point. We can then think of M1âˆªM2 as a singular special Lagrangianâ€¦ (More)

D-Enantiomer amino acids, endogenously synthesized and degraded in mammals, participate in multiple developmental and physiological processes. We characterize both d-aspartate and its degradativeâ€¦ (More)

The Western world has seen a significant shift in the epistemic values of spiritual seekers in the past quarter of a century; many have referred to the new epistemic approach as postmodernâ€¦ (More)

Partnerships between tourism enterprises and protected area managers are widely promoted as means to generate mutually beneficial outcomes. This paper reports on a study that examined theâ€¦ (More)