Moduli of Vector Bundles

Masaki Maruyama, Zuhair Nashed (University of Central Florida, Orlando, USA), Earl Taft

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English

CRC Press Inc
23 April 1996

Differential & Riemannian geometry; Algebraic geometry; Algebraic topology

Series: Lecture Notes in Pure and Applied Mathematics

Contains papers presented at the 35th Taniguchi International Symposium held recently in Sanda and Kyoto, Japan. Details the latest developments concerning moduli spaces of vector bundles or instantons and their application. Covers a broad array of topics in both differential and algebraic geometry.

Edited by: Masaki Maruyama
Series edited by: Zuhair Nashed (University of Central Florida Orlando USA), Earl Taft
Imprint: CRC Press Inc
Country of Publication: United States
Volume: 179
Dimensions: Height: 254mm, Width: 178mm, Spine: 15mm
Weight: 589g
ISBN: 9780824797386
ISBN 10: 0824797388
Series: Lecture Notes in Pure and Applied Mathematics
Pages: 320
Publication Date: 23 April 1996
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Paperback
Publisher's Status: Active

Computing Schubert's calculus with Severi residues - an introduction to quantum cohomology; Neron-Severi group for Torus quasi-bundles over curves; some Donaldson invariants of CP2; Kahler quotient and equivariant cohomology; magnetic monopoles with platonic symmetry; semi-universal family of reflexive modules over a rational double point of type A; a remark on Donaldson's polynomial invariants for a surface of general type with Pg=2 and K2=1; module des fibres semi-stables et fonctions theta; systemes coherents et polynomes de Donaldson; Picard groups of the moduli spaces of vector bundles over algebraic surfaces; construction of moduli spaces and stable sheaves via Simpson's idea; curves and K3 surface of genus eleven; hyper-Kahler structures on moduli spaces of parabolic Higgs bundles on Riemann surfaces; notes on symplectic 4-manifolds with b2=1; on the local geometry of moduli spaces of locally free sheaves; small fields in constructive algebraic geometry; homotopy over the complex numbers and generalized de Rham cohomology; remarks on zero-cycles of self-products of varieties; moduli of parabolic Higgs sheaves; numbers of F-alpha-rational points of the moduli of stable sheaves on elliptic surfaces.

Masaki Maruyama