Riemannian, symplectic and complex geometry are often studied by means ofsolutions to systems ofnonlinear differential equations, such as the equa- tions of geodesics, minimal surfaces, pseudoholomorphic curves and Yang- Mills connections. For studying such equations, a new unified technology has been developed, involving analysis on infinite-dimensional manifolds. A striking applications of the new technology is Donaldson's theory of "anti-self-dual" connections on SU(2)-bundles over four-manifolds, which applies the Yang-Mills equations from mathematical physics to shed light on the...
Riemannian, symplectic and complex geometry are often studied by means ofsolutions to systems ofnonlinear differential equations, such as the equa- ti...
This book is a wakeup call for voters. Our elected leaders have run up crippling debt handing out entitlements and lowering taxes, to buy our votes. America's working middle class is crumbling, carrying the load of the rich and poor on its back. Not
This book is a wakeup call for voters. Our elected leaders have run up crippling debt handing out entitlements and lowering taxes, to buy our votes. A...
