Book Titles Seiberg Witten and Gromov Invariants for Symplectic 4-manifolds

Softcover		Seiberg Witten and Gromov Invariants for Symplectic 4-manifolds Clifford Henry Taubes, Harvard University
		ISBN: 1-57146-089-6 Year Published: 2005 Pages: 405 pages Binding: Hardcover Price: $70.00

Description: On March 28-30, 1996, International Press, the National Science Foundation, and the University of California at Irvine sponsored the First Annual International Press Lecture Series, held on the Irvine campus. The inaugural speaker for this event was Professor Clifford Henry Taubes of Harvard University who delivered three lectures on "Seiberg-Witten and Gromov Invariants." In addition, there were ten one-hour lectures delivered by some of the foremost researchers in the field of four dimensional smooth and symplectic topology. Volume I of these proceedings contains articles based on six of those lectures. The present volume consists of four papers by Taubes comprising the complete proof of his remarkable result relating the Seiberg-Witten and Gromov invariants of symplectic four manifolds. The first paper "SW => Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves" appeared in print in 1996 in the Journal of the American Mathematical Society. The remaining three papers appeared in the Journal of Differential Geometry. Contents: SW => Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves The Seiberg-Witten equations Estimates The monotonicity formula The local structure of 1(0) Convergence to a current Positivity and pseudo-holomorphic curves Constraints on symplectic 4-manifolds Counting pseudo-holomorphic submanifolds in dimension 4 The definition of Gr The definition of r(C, 1) The definition of r(C, m) when m > 1 The meaning of the term "admissable" The proofs A toroidal example D on other surfaces Gr => SW: From pseudo-holomorphic curves to Seiberg-Witten solutions Setting the stage The gluing construction Introduction to Z0 and Z From almost solutions to true solutions, I From almost solutions to true solutions, II Analytic structures Gr = SW: Counting curves and connections Seiberg-Witten and Gromov-Witten Invariants The proof of Theorem 1 Z0 and compactness: The proof of Proposition 2.7 Orientations and other constructions for M(r) The Proof of Proposition 2.10 The image of r Proof of Proposition 2.13 Related Titles: Journal of Differential Geometry, Huai-Dong Cao (ed.), journal series To Order: Book Orders Book Sales - Great discounts on other popular titles!