Lattices and theta functions
Terry J. Gannon · eScholarship@McGill (McGill) · 1991
The gluing and tensor product constructions of lattices are reviewed. A third construction, called shifting, is defined and its relationship to gluing and rational equivalence is investigated. There follows a discussion of a method, based on gluing, for systematically generating theta function identities. Gluing is used also as a device for constructing phenomenologically realistic superstring theories. Finally, these lattice methods are applied to recent work concerning vanishing cosmological constants in string theories. In addition, scattered throughout the thesis are a number of smaller results on lattices.