Successive waves of migrant options, mostly from mathematical physics, have motivated the research of vector bundles over algebraic kinds long ago few years. however the topic has retained its roots in outdated questions bearing on subvarieties of projective house. The 1993 Durham Symposium on vector bundles in algebraic geometry introduced jointly the various best researchers within the box to extra discover those interactions. This ebook is a set of survey articles by way of the most audio system on the Symposium and provides to the mathematical international an summary of the foremost components of study regarding vector bundles. issues comprise augmented bundles and coherent structures which hyperlink gauge idea and geometric invariant conception; Donaldson invariants of algebraic surfaces; Floer homology and quantum cohomology; conformal box concept and the moduli areas of bundles on curves; the Horrocks-Mumford package and codimension 2 subvarieties in p4 and p5; and extraordinary bundles and solid sheaves on projective area. This publication will charm vastly to mathematicians operating in algebraic geometry and components adjacent mathematical physics.

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