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Successive waves of migrant concepts, largely from mathematical physics, have stimulated the study of vector bundles over algebraic varieties in the past few years. But the subject has retained its roots in old questions concerning subvarieties of projective space. The 1993 Durham Symposium on vector bundles in algebraic geometry brought together some of the leading researchers in the field to further explore these interactions. This book is a collection of survey articles by the main speakers at the Symposium and presents to the mathematical world an overview of the key areas of research involving vector bundles. Topics include augmented bundles and coherent systems which link gauge theory and geometric invariant theory; Donaldson invariants of algebraic surfaces; Floer homology and quantum cohomology; conformal field theory and the moduli spaces of bundles on curves; the Horrocks-Mumford bundle and codimension 2 subvarieties in p4 and p5; and exceptional bundles and stable sheaves on projective space. This book will appeal greatly to mathematicians working in algebraic geometry and areas adjoining mathematical physics.

This book is a collection of survey articles by the main speakers at the 1993 Durham symposium on vector bundles in algebraic geometry.

Publisher:
Cambridge [England] ; New York : Cambridge University Press, 1995

ISBN:
9781107362246

1107362245

9780511569319

0511569319

0521498783

9780521498784

1107362245

9780511569319

0511569319

0521498783

9780521498784

Characteristics:
1 online resource (ix, 345 pages) : illustrations

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