2 1 N ov 1 99 9 String Topology

ar X iv : h ep - t h / 99 11 12 0 v 1 1 6 N ov 1 99 9 Coset - Space String Compactification Leading To 14 Subcritical Dimensions

Using sigma-model approach, we study a class of coset spaces with torsion which compactify the D = 26 closed bose-string theory. Requiring also that massless chiral fermions arise from the geometry/topology of coset space, we are left with the unique possibility: it implies D = 14 subcritical dimensions and certain isometry group.

2 N ov 1 99 9 Some Thermodynamical Aspects of String Theory

ar X iv : m at h / 99 07 19 2 v 2 [ m at h . G N ] 2 8 N ov 1 99 9 ASYMPTOTIC TOPOLOGY

We establish some basic theorems in dimension theory and absolute extensor theory in the coarse category of metric spaces. Some of the statements in this category can be translated in general topology language by applying the Higson corona functor. The relation of problems and results of this ‘Asymptotic Topology’ to Novikov and similar conjectures is discussed.

ar X iv : h ep - p h / 95 11 45 6 v 1 2 9 N ov 1 99 5 hep - ph / yymmddd FOUR - DIMENSIONAL SUPERSTRING MODELS

These five lectures give an elementary introduction to perturbative superstring theory, superstring phenomenology, and the fermionic construction of perturbative string models. These lectures assume no prior knowledge of string theory.

ar X iv : h ep - t h / 94 11 09 7 v 2 2 9 N ov 1 99 4 CURRENT DIRECTIONS IN STRING THEORY AND ABSTRACT SUPERSYMMETRY JEFFREY

I discuss some current thoughts on how low-energy measurements and consistency constrain theories at high energies with emphasis on string theory. I also discuss some recent work on the dynamics of supersymmetric gauge theories.