A Lantern Screen

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

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...

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 Pragmatic Approach (or Diogenes without a Lantern)

Abel, Rowntree and Turner are credited with the original concept, development and experimental use of an "artificial kidney" in 1913. Collodion tubes were used as the dialysis membrane, and hirudin (from the heads of leeches) was their anticoagulant. With this vividiffusion apparatus they were able to demonstrate that substances such as salicylate and urea could be successfully removed from the...

The solemn lady with the lantern.