The Projecting Lantern

Applications of the Lantern Identity

The purpose of this note is to unify the role of the lantern identity in the proof of several finiteness theorems. In particular, we show that for every nonnegative integer m, the vector space (over the rationals) of type m (resp. T -type m) invariants of integral homology 3-spheres are finite dimensional. These results have already been obtained by [Oh] and [GL2] respectively; our derivation h...

A lantern lemma

We show that in the mapping class group of a surface any relation between Dehn twists of the form T j xT k y = M (M a multitwist) is the lantern relation, and any relation of the form (TxTy) k = M (where Tx commutes with M ) is the 2-chain relation. AMS Classification 57M07; 20F38, 57N05

The solemn lady with the lantern.

A Magic Lantern Data Projector

The Magic Lantern Data Projector allows a performer-participant to build sculptural glass forms that are projected, then algorithmically processed. The device re-envisions magic lantern slides as transparent, multifaceted three-dimensional glass boxes. The projected image is a palimpsest of coloured transparent glass forms (Figure 1). Servomotors position the boxes in front of a camera lens, wh...

Conduction Defects in the Heart (with Lantern Demonstration.)

whether the method, in addition to its undoubted scientific interest, yields any information having a direct bearing upon the problems of diagnosis, prognosis, and treatment. It must be admitted that in many cases no further knowledge is obtained by its use than can be derived from ordinary methods of examination. At the same time it may fairly be claimed for it that in some cases no other meth...