Meanings of moduli space in anglès

In addition, moduli space has a metric whose geodesics are natural to study.

In recent years, Mirzakhani has explored other aspects of the geometry of moduli space.

This point of view led Mirzakhani to new insights into other questions about moduli space.

Because of its complexities and inhomogeneity, moduli space has often seemed impossible to work on directly.

By contrast, moduli space is totally inhomogeneous: Every part of it looks totally different from every other part.

She has a strong geometric intuition that allows her to grapple directly with the geometry of moduli space.

However, this says nothing about the global structure of moduli space, which is extremely complicated and still very mysterious.

She calculates certain volumes in moduli space and then deduces the counting result for simple closed geodesics from this calculation.

It is astounding to find that the rigidity in homogeneous spaces has an echo in the inhomogeneous world of moduli space.

For example, thinking of Riemann surfaces as algebraic curves leads to the conclusion that moduli space itself is an algebraic object called an algebraic variety.

However, Mirzakhani et al have proved that complex geodesics and their closures in moduli space are in fact surprisingly regular, rather than irregular or fractal.

Moduli space is a world in which many new territories await discovery.

Moduli space has many special loci inside it that correspond to Riemann surfaces with particular properties, and these loci can intersect.