By N. J. Hitchin, P. E. Newstead, W. M. Oxbury
Successive waves of migrant strategies, principally from mathematical physics, have encouraged the examine of vector bundles over algebraic forms some time past few years. however the topic has retained its roots in outdated questions bearing on subvarieties of projective area. The 1993 Durham Symposium on vector bundles in algebraic geometry introduced jointly a number of the prime researchers within the box to additional discover those interactions. This publication is a set of survey articles via the most audio system on the Symposium and provides to the mathematical global an summary of the most important parts of study related to vector bundles. issues contain augmented bundles and coherent structures which hyperlink gauge thought and geometric invariant conception; 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 and codimension 2 subvarieties in p4 and p5; and unprecedented bundles and sturdy sheaves on projective house. This booklet will allure tremendously to mathematicians operating in algebraic geometry and parts adjacent mathematical physics.