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Vector bundles and their associated moduli spaces are of fundamental importance in algebraic geometry. In recent decades this subject has been greatly enhanced by its relationships with other areas of mathematics, including differential geometry, topology and even theoretical physics, specifically gauge theory, quantum field theory and string theory. Peter E. Newstead has been a leading figure in this field almost from its inception and has made many seminal contributions to our understanding of moduli spaces of stable bundles. This volume has been assembled in tribute to Professor Newstead and his contribution to algebraic geometry. Some of the subject's leading experts cover foundational material, while the survey and research papers focus on topics at the forefront of the field. This volume is suitable for both graduate students and more experienced researchers.
Vector bundles. --- Moduli theory. --- Theory of moduli --- Analytic spaces --- Functions of several complex variables --- Geometry, Algebraic --- Fiber spaces (Mathematics)
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51 <082.1> --- Mathematics--Series --- Jet bundles (Mathematics) --- Blowing up (Algebraic geometry) --- Pfaffian systems. --- Singularities (Mathematics) --- Fibrés des jets (Mathématiques) --- Eclatement (Mathématiques) --- Systèmes de Pfaff --- Singularités (Mathématiques) --- Fibrés des jets (Mathématiques) --- Eclatement (Mathématiques) --- Systèmes de Pfaff --- Singularités (Mathématiques) --- Algebraic geometry --- Pfaffian systems --- Alpha process (Algebraic geometry) --- Blow up (Algebraic geometry) --- Blowing up (Mathematics) --- Blowup (Algebraic geometry) --- Dilation, Monoidal --- Monoidal dilation --- Monoidal transformation --- Sigma process (Algebraic geometry) --- Transformation, Monoidal --- Transformations (Mathematics) --- Geometry, Algebraic --- Paff system of equations --- Paff's system of equations --- Pfaffian equations, System of --- System of Pfaffian equations --- System of total differential equations --- Total differential systems --- Differentiable manifolds --- Differential equations --- Global analysis (Mathematics) --- Manifolds (Mathematics) --- Vector bundles --- Pfaffian problem --- Pfaff, Équations de
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