2 8 Ju l 2 00 6 K - theory of the mapping class groups

2 9 M ay 2 00 3 ALGEBRAIC K - THEORY OF MAPPING CLASS GROUPS

We show that the Fibered Isomorphism Conjecture of T. Farrell and L. Jones holds for various mapping class groups. In many cases, we explicitly calculate the lower algebraic K-groups, showing that they do not always vanish.

M ay 2 00 3 ALGEBRAIC K - THEORY OF MAPPING CLASS GROUPS

We show that the Fibered Isomorphism Conjecture of T. Farrell and L. Jones holds for various mapping class groups. In many cases, we explicitly calculate the lower algebraic K-groups, showing that they do not always vanish.

3 0 Ju l 2 00 2 ( 1 , 1 ) - knots via the mapping class group of the twice punctured torus

We develop an algebraic representation for (1, 1)-knots using the mapping class group of the twice punctured torus MCG2(T ). We prove that every (1, 1)-knot in a lens space L(p, q) can be represented by the composition of an element of a certain rank two free subgroup of MCG2(T ) with a standard element only depending on the ambient space. As a notable examples, we obtain a representation of th...

iv : n uc l - th / 0 60 70 56 v 2 2 8 Ju l 2 00 6 SQM 2006 : Theory Summary and Perspectives

ar X iv : a st ro - p h / 04 07 53 8 v 1 2 6 Ju l 2 00 4 Reverberation mapping of active galactic nuclei

Reverberation mapping is a proven technique that is used to measure the size of the broad emission-line region and central black hole mass in active galactic nuclei. More ambitious reverberation mapping programs that are well within the capabilities of Hubble Space Telescope could allow us to determine the nature and flow of line-emitting gas in active nuclei and to assess accurately the system...