Moduli Of Vector Bundles
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Moduli Spaces and Vector Bundles
Author: Steve Bradlow
language: en
Publisher: Cambridge University Press
Release Date: 2009-05-21
Coverage includes foundational material as well as current research, authored by top specialists within their fields.
Introduction to Moduli Problems and Orbit Spaces
Author: P. E. Newstead
language: en
Publisher: Alpha Science International Limited
Release Date: 2012
Geometric Invariant Theory (GIT), developed in the 1960s by David Mumford, is the theory of quotients by group actions in Algebraic Geometry. Its principal application is to the construction of various moduli spaces. Peter Newstead gave a series of lectures in 1975 at the Tata Institute of Fundamental Research, Mumbai on GIT and its application to the moduli of vector bundles on curves. It was a masterful yet easy to follow exposition of important material, with clear proofs and many examples. The notes, published as a volume in the TIFR lecture notes series, became a classic, and generations of algebraic geometers working in these subjects got their basic introduction to this area through these lecture notes. Though continuously in demand, these lecture notes have been out of print for many years. The Tata Institute is happy to re-issue these notes in a new print.
Moduli of Vector Bundles
"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."