We construct smooth 4-manifolds that are homeomorphic but not diffeomorphic to the “cusp” and the “fishtail”, which are thickened singular 2-spheres. Even though many fake smoothings of 4-manifolds are known to exists, we know little about the basic building blocks of exotic smooth manifolds. This is mainly due to the fact that we still don’t know if basic manifolds like S, S ×S, and S ×S could...

Based on the previously suggested model of nanoscale dislocations induced Josephson junctions and their arrays, we study the magnetic field induced electric polarization effects in intrinsically granular superconductors. In addition to a new phenomenon of chemomagnetoelectricity, the model predicts also a few other interesting effects, including charge analogues of Meissner paramagnetism (at lo...

Fishtail deformity is a very rare complication of undisplaced supracondylar fractures of the humerus in children. We report the case of a 10-year old girl presenting with pain in the right elbow eight years after a non-displaced supracondylar fracture of the humerus. Radiographs also demonstrated necrosis of the lateral part of the trochlea and of the head of the radius. With this long-term cli...

We report on three different and complementary measurements, namely magnetisation measurements positron annihilation spectroscopy and NMR measurements, which give evidence that the formation of oxygen vacancy clusters is on the origin of the fishtail anomaly in YBa2Cu3O7−δ. While in the case of YBa2Cu3O7.0 the anomaly is intrinsically absent, it can be suppressed in the optimally doped state wh...