We prove that polarised manifolds that admit a constant scalar curvature Kähler (cscK) metric satisfy a condition we call slope semistability. That is, we define the slope µ for a projective manifold and for each of its subschemes, and show that if X is cscK then µ(Z) ≤ µ(X) for all subschemes Z. This gives many examples of manifolds with Kähler classes which do not admit cscK metrics, such as ...

We prove that polarised manifolds that admit a constant scalar curvature Kähler (cscK) metric satisfy a condition we call slope semistability. That is, we define the slope µ for a projective manifold and for each of its subschemes, and show that if X is cscK then µ(Z) ≤ µ(X) for all subschemes Z. This gives many examples of manifolds with Kähler classes which do not admit cscK metrics, such as ...

For the p ( ! ;K+) 0 reaction, polarisation observables were measured using linearly polarised photons in CLAS, during the G8a experiment in the summer of 2001. Using the CEBAF accelerator facility in Virginia, USA, an incident electron beam energy of 5.7 GeV was achieved. The electron beam then passed into the newly commissioned Coherent Bremsstrahlung Facility, producing a beam of linearly po...

This paper gives an overview of the spin structure of the nucleon with emphasis on a pedagogical presentation of the tools used to study this fundamental property of protons and neutrons. While many of the data currently available are shown, this paper is not intended to be an exhaustive summary of the field. Rather, the data are used to illustrate the concepts presented. The most recent progre...

When a left-circularly polarised Gaussian light beam, which has spin angular momentum (SAM) J(sp) = sigmah = 1h per photon, is incident along one of the optic axes of a slab of biaxial crystal it undergoes internal conical diffraction and propagates as a hollow cone of light in the crystal. The emergent beam is a superposition of equal amplitude zero and first order Bessel like beams. The zero ...

We report on a quantum optical experimental implementation of teleportation of unknown pure quantum states. This realizes all the nonlocal aspects of the original scheme proposed by Bennett et al. and is equivalent to it up to a local operation. We exhibit results for the teleportation of a linearly polarised state and of an elliptically polarised state. We show that the experimental results ca...

Neutral-current (NC) and charged-current (CC) deep inelastic scattering (DIS) interactions have been studied in e + p and e − p collisions with longitudinally polarised lepton beams using the H1 and ZEUS detectors at HERA. Measurements of the polarised inclusive cross-sections are presented and compared to the Standard Model (SM) expectations. The extraction of several electroweak parameters us...

The polarised distribution of signals downstream from receptor tyrosine kinases (RTKs) regulates fundamental cellular processes that control cell migration, growth and morphogenesis. It is poorly understood how RTKs are involved in the localised signalling and actin remodelling required for these processes. Here, we show that the Gab1 scaffold is essential for the formation of a class of polari...

A space consisting of two rapidly moving cosmic strings has recently been constructed by Gott that contains closed timelike curves. The global structure of this space is analysed and is found that, away from the strings, the space is identical to a generalised Misner space. The vacuum expectation value of the energy momentum tensor for a conformally coupled scalar field is calculated on this ge...