Titlebook: Smooth Four-Manifolds and Complex Surfaces; Robert Friedman,John W. Morgan Book 1994 Springer-Verlag Berlin Heidelberg 1994 4-Manifold.4-M

祖传财产

Introduction,isms, which, at least in the simply connected case, say that the group of self-diffeomorphisms of a closed manifold . of dimension at least 5 is commensurate with an arithmetic subgroup of the linear algebraic group of all automorphisms of its so-called rational minimal model which preserve the Pontrjagin classes [131].

curriculum

概观

Holomorphic Vector Bundles, Stability, and Gauge Theory,the moduli space. We will give a detailed example of this study in Chapter VII, when we discuss the structure of the moduli space of stable bundles for elliptic surfaces. In the next chapter, as a very general application, we shall give a proof of Donaldson’s theorem that the polynomial invariants do not vanish for an algebraic surface.

arrhythmic

Donaldson Polynomials of Elliptic Surfaces,his calculation in turn will give a partial smooth classification of simply connected elliptic surfaces. Using this classification, we shall complete the proofs of Theorem S.6 and S.3 in the “Statement of Results” section and thereby show that for algebraic surfaces deformation equivalence and diffeomorphism differ by at most a finite amount.

CROW

0071-1136 bordism theorem [130]. This result inaugurated a major effort to classify all possible smooth and topological structures on manifolds of dimension at least 5. By the mid 1970‘s the main outlines of this theory were complete, and explicit answers (especially concerning simply connected manifolds) as

Chauvinistic

Introduction,eorem [130]. This result inaugurated a major effort to classify all possible smooth and topological structures on manifolds of dimension at least 5. By the mid 1970’s the main outlines of this theory were complete, and explicit answers (especially concerning simply connected manifolds) as well as ge

内阁

The Kodaira Classification of Surfaces,al techniques, i.e. without the use of gauge theory. Not surprisingly, these techniques are most effective when homotopy type and diffeomorphism type are essentially identical. In this chapter, we shall concentrate on the analytic aspects of surface theory, e.g. moduli, with special attention to ell

Allowance

The Topology of Elliptic Surfaces,pare deformation equivalence and diffeomorphism in all cases except when the fundamental group of the elliptic surface is finite cyclic. We shall also prove auxiliary results on the monodromy of general elliptic surfaces over ℙ. and on the existence of embedded 2-spheres of self-intersection −2 in s

心胸狭窄

NADIR

Donaldson Polynomials of Algebraic Surfaces, evaluated on ., based on the enumerative geometry of certain divisors in the moduli space ..,(., .) which represent the divisors .(.).This recipe will be used in Chapter VII to make calculations for elliptic surfaces. The divisors representing .(.) are supported on the set of vector bundles in the