Twisting the Dragon's Tail

The Footprints of Dragons

Almost all our early ancestors believed the earth was inhabited, especially in unknown regions, by dragons. Where did they get such an idea? Did it stem from a universal human imagination? An inherited need or instinct? An inherited subconscious memory of dinosaurs? All these suggestions have been made, and taken seriously by groups of people. I believe dragons are the reflection, sometimes emb...

There Be Dragons

Our security gateway to the Internet research att com provides only a limited set of services Most of the standard servers have been replaced by a variety of trap programs that look for attacks Using these we have detected a wide variety of pokes ranging from simple doorknob twisting to determined assaults The attacks range from simple attempts to log in as guest to forged NFS packets We believ...

Here Be Dragons

held, dragons awaited them. As further support for the flat-Earth hypothesis , anyone who ever cared to experiment either saw an obstruction in the distance or a never-ending flat expanse no matter which direction they looked. What else could the world be but flat? The 21st century " flat world " craze, like its predecessor, also involves India and China, but it's now the transportation of bits...

The Twisting Lane

Twisting the quantum grassmannian

In contrast to the classical and semiclassical settings, the Coxeter element (12 . . . n) which cycles the columns of an m×n matrix does not determine an automorphism of the quantum grassmannian. Here, we show that this cycling can be obtained by defining a cocycle twist. A consequence is that the torus invariant prime ideals of the quantum grassmannian are permuted by the action of the Coxeter...