Moduli of Vector Bundles

ISBN-13: 9780824797386 / Angielski / Miękka / 1996 / 336 str.

Masaki Maruyama; Maruyama Maruyama; Masaki Maruyama

Opis

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.

Spis treści

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.

O autorze

Masaki Maruyama