| 31. | However the correction to the metric of the moduli space of vacua from instantons was calculated in a series of papers.
|
| 32. | More conceptually, modular functions can be thought of as functions on the moduli space of isomorphism classes of complex elliptic curves.
|
| 33. | Borcherds used this theory to resolve some long-standing conjectures concerning quasi-affineness of certain moduli spaces of algebraic surfaces.
|
| 34. | Eventually, in genus zero the coarse moduli space has dimension zero, and in genus one, it has dimension one.
|
| 35. | Moreover, natural considerations regarding, for example, moduli spaces, lead to schemes that are " non-classical ".
|
| 36. | The moduli space of stable maps is compact; that is, any sequence of stable maps converges to a stable map.
|
| 37. | Thus they form a natural higher-dimensional generalization of modular curves viewed as moduli spaces of elliptic curves with level structure.
|
| 38. | His major contributions are in theory of classical and quantum integrable systems, quantum groups and Weil Petersson geometry of moduli spaces.
|
| 39. | This moduli space is the essence of the Gromov Witten invariants, which find application in enumerative geometry and type IIA string theory.
|
| 40. | More precisely, the existence of non-trivial automorphisms of the objects being classified makes it impossible to have a fine moduli space.
|
