Homologies of Moduli Space M 2,1

On the Quantum Moduli Space of M -Theory Compactifications

We study the moduli space of M -theories compactified on G2 manifolds which are asymptotic to a cone over quotients of S × S. We show that the moduli space is composed of several components, each of which interpolates smoothly among various classical limits corresponding to low energy gauge theories with a given number of massless U(1) factors. Each component smoothly interpolates among supersy...

Moduli space parametrizations

This is the second of two articles that describe the moduli spaces of pseudoholomorphic, multiply punctured spheres in R .S S/ as defined by a certain natural pair of almost complex structure and symplectic form. The first article in this series described the local structure of the moduli spaces and gave existence theorems. This article describes a stratification of the moduli spaces and gives ...

Phase Moduli Space of Supertubes

We study possible deformations of BPS supertubes keeping their conserved charges fixed. We show that there is no flat direction to closed supertubes of circular cross section with uniform electric and magnetic fields, and also to open planar supertubes. We also find that there are continuously infinite flat deformations to supertubes of general shape under certain conditions.

The Moduli Space of Curves

In this section, we will give a sketch of the construction of the moduli space Mg of curves of genus g and the closely related moduli space Mg,n of n-pointed curves of genus g using two different approaches. Throughout this section we always assume that 2g − 2 + n > 0. In the first approach, we will embed curves in a projective space P using a sufficiently high power n of their dualizing sheaf....

Homologies, Phylogenies, Sequence Space and the Theory of Evolution