Book Titles L² Moduli Space and a Vanishing Theorem for Donaldson Polynomial Invariants (Vol. 2)

Hardcover		L2 Moduli Space and a Vanishing Theorem for Donaldson Polynomial Invariants (Vol. 2) John Morgan, Tomasz Mrowka and Daniel Ruberman
		ISBN: 1-57146-006-3 Year Published: 1994 Pages: 233 pages Binding: Hardcover Price: $42.00 --> Sale: $19!

Description: This monograph provides tools for the study of anti-self dual connections on 4-manifolds with cylindrical ends. The work has many applications to the most recent and important advances in mathematics. This book also describes a setup for dealing with the general problem of trying to understand Donaldson's invariants of a smooth four manifold X by stretching its metric out along a codimension-one embedded submanifold N. The main concern here is the local description of the moduli space of finite energy anti-selfdual (ASD) connections in a principal G bundle over a four manifold with cylindrical end. Contents: Introduction, The L2 moduli space Chern-Simons flow and ASD connections on a cylinder Regularity and Estimates for the Flow Equation: The Proof of Theorem 2.6.3 Existence of asymptotic value at infinity The finite dimensional ODE dominating the Chern-Simons flow Geometric limits as we stretch the tube out The definition of the thickened moduli space Structure of the fibers A generic metrics theorem for the thickened moduli space Slices and the local structure of B0{l,w}(Tgamma, T0) Generalities on Stratified Spaces The relationship of the center manifold to the Kuranishi picture for a general 3-manifold Local data for the representation variety The moduli space The case of SO(3) moduli spaces A Vanishing Result for 4-manifolds split by certain 3-dimensional nilmanifolds Related Titles: L2 Moduli Spaces on 4-Manifolds with Cylindrical Ends (Vol. 1), Clifford H. Taubes To Order: Book Orders Book Sales - Great discounts on other popular titles!