Conformal maps from a 2-torus to the 4-sphere

Irrational Conformal Field Theory on the Sphere and the Torus ∗

I review the foundations of irrational conformal field theory (ICFT), which includes rational conformal field theory as a small subspace. Highlights of the review include the Virasoro master equation and the generalized Knizhnik-Zamolodchikov equations for the correlators of ICFT on the sphere and the torus.

LOGARITHMIC CONFORMAL FIELD THEORY or HOW TO COMPUTE A TORUS AMPLITUDE ON THE SPHERE

We review some aspects of logarithmic conformal field theories which might shed some light on the geometrical meaning of logarithmic operators. We consider an approach, put forward by V. Knizhnik, where computation of correlation functions on higher genus Riemann surfaces can be replaced by computations on the sphere under certain circumstances. We show that this proposal naturally leads to log...

from linguistics to literature: a linguistic approach to the study of linguistic deviations in the turkish divan of shahriar

chapter i provides an overview of structural linguistics and touches upon the saussurean dichotomies with the final goal of exploring their relevance to the stylistic studies of literature. to provide evidence for the singificance of the study, chapter ii deals with the controversial issue of linguistics and literature, and presents opposing views which, at the same time, have been central to t...

Fold Maps from the Sphere to the Plane

The Space of Harmonic Maps from the 2-sphere to the Complex Projective Plane

In this paper we study the topology of the space of harmonic maps from S to CP. We prove that the subspaces consisting of maps of a fixed degree and energy are path connected. By a result of Guest and Ohnita it follows that the same is true for the space of harmonic maps to CPn for n≥2. We show that the components of maps to CP are complex manifolds.