Some Comments on Branes, G-flux, and K-theory

This is a summary of a talk at Strings2000 explaining three ways in which string theory and M-theory are related to the mathematics of K-theory.Comment: 10pp., late

Book Review - Introducing Romans, Richard Longenecker

Review of Richard Longenecker\u27s Introducing Romans

Pupa of \u3ci\u3ePhaleria Rotundata\u3c/i\u3e Leconte (Coleoptera: Tenebrionidae)

(excerpt) It is not necessary to apologize for making known fragments of the insect fauna of the seabeach of Pacific North America. This fauna commands attention. Among its several aspects are (1) it is linear, extending several thousand kilometers from north to south, but being only a few hundred meters wide, (2) its species are all confined within the seabeach limits, and (3) it is a threatened fauna particularly in southern California where the habitat is being rapidly altered by man for purposes of industry, housing and recreation. P~eservation of specimens from this fauna and recording of observations on its ecology at this time seems of paramount importance. Description of the larva and ecological notes on Phalerh rotundata LeConte have been made (Moore, 1975), but no opportunity to attempt to rear specimens presented itself at that time. Since then, pupae have become available and are described below

Defect correction from a galerkin viewpoint

We consider the numerical solution of systems of nonlinear two point boundary value problems by Galerkin's method. An initial solution is computed with piecewise linear approximating functions and this is then improved by using higher—order piecewise polynomials to compute defect corrections. This technique, including numerical integration, is justified by typical Galerkin arguments and properties of piecewise polynomials rather than the traditional asymptotic error expansions of finite difference methods

On Consistent Boundary Conditions for c=1 String Theory

We introduce a new parametrisation for the Fermi sea of the $c = 1$ matrix model. This leads to a simple derivation of the scattering matrix, and a calculation of boundary corrections in the corresponding $1+1$--dimensional string theory. The new parametrisation involves relativistic chiral fields, rather than the non-relativistic fields of the usual formulations. The calculation of the boundary corrections, following recent work of Polchinski, allows us to place restrictions on the boundary conditions in the matrix model. We provide a consistent set of boundary conditions, but believe that they need to be supplemented by some more subtle relationship between the space-time and matrix model. Inspired by these boundary conditions, some thoughts on the black hole in $c=1$ string theory are presented.Comment: 13 pages, 2 postscript figures include