Science/Engineering Differential Topology of Complex Surfaces (Lecture Notes in Mathematics) (3540566740)

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Differential Topology of Complex Surfaces (Lecture Notes in Mathematics)

This book is about the smooth classification of a certain class of algebraicsurfaces, namely regular elliptic surfaces of geometric genus one, i.e. elliptic surfaces with b1 = 0 and b2+ = 3. The authors give a complete classification of these surfaces up to diffeomorphism. They achieve this result by partially computing one of Donalson's polynomial invariants. The computation is carried out using techniques from algebraic geometry. In these computations both thebasic facts about the Donaldson invariants and the relationship of the moduli space of ASD connections with the moduli space of stable bundles are assumed known. Some familiarity with the basic facts of the theory of moduliof sheaves and bundles on a surface is also assumed. This work gives a good and fairly comprehensive indication of how the methods of algebraic geometry can be used to compute Donaldson invariants.

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	Study Geometry and Topology (Lecture Notes in Pure and Applied Mathematics) Mccrory, Theodore Shifrin "Geometry and Topology (Lecture Notes in Pure and Applied Mathematics)"CRC \| English \| 1986-10-22 \| ISBN: 0824776216 \| 368 pages \| DJVU \| 3,4 MBTo start download click HERE:No another mirrors, please! ...
	Mathematics Differential Geometry: A First Course in Curves and Surfaces (Lecture notes) Theodore Shifrin ¡°Differential Geometry: A First Course in Curves and Surfaces (Lecture notes) " Department of Mathematics, University of Georgia \| 2008 \| ISBN-10: N/A \| 122 pages \| PDF \| 1,6 Mb These are excellent course notes in b ...
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