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differential topology of complex surfaces
Morgan,O&Quot,Grady (Author)
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springer publishing map
· Physical Book
differential topology of complex surfaces - morgan,o",grady
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Synopsis "differential topology of complex surfaces"
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 donalsons 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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The book is written in English.
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