Successive waves of migrant thoughts, mostly from mathematical physics, have motivated the examine of vector bundles over algebraic forms long ago few years. however the topic has retained its roots in previous questions touching on subvarieties of projective house. The 1993 Durham Symposium on vector bundles in algebraic geometry introduced jointly many of the top researchers within the box to additional discover those interactions. This e-book is a set of survey articles by way of the most audio system on the Symposium and offers to the mathematical global an outline of the main parts of study related to vector bundles. subject matters contain augmented bundles and coherent structures which hyperlink gauge concept and geometric invariant concept; Donaldson invariants of algebraic surfaces; Floer homology and quantum cohomology; conformal box thought and the moduli areas of bundles on curves; the Horrocks-Mumford package deal and codimension 2 subvarieties in p4 and p5; and unparalleled bundles and sturdy sheaves on projective house. This ebook will charm tremendously to mathematicians operating in algebraic geometry and parts adjacent mathematical physics.

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