The Moment-Weight Inequality and the Hilbert–Mumford Criterion: GIT from the Differential Geometric Viewpoint: 2297 (Lecture Notes in Mathematics, 2297) - Image 1

£43.38

Springer The Moment-Weight Inequality and the Hilbert–Mumford Criterion: GIT from the Differential Geometric Viewpoint: 2297 (Lecture Notes in Mathematics, 2297)

Name: The Moment-Weight Inequality and the Hilbert-Mumford Criterion: GIT from the Differential Geometric Viewpoint: 2297 (Lecture Notes in Mathematics, 2297)
Brand: Springer
Price: 43.38 GBP
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Geometry & Topology

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This book provides an introduction to geometric invariant theory from a differential geometric viewpoint. It is inspired by certain infinite-dimensional analogues of geometric invariant theory that arise naturally in several different areas of geometry. The central ingredients are the moment-weight inequality relating the Mumford numerical invariants to the norm of the moment map, the negative gradient flow of the moment map squared, and the Kempf--Ness function. The exposition is essentially self-contained, except for an appeal to the Lojasiewicz gradient inequality. A broad variety of examples illustrate the theory, and five appendices cover essential topics that go beyond the basic concepts of differential geometry. The comprehensive bibliography will be a valuable resource for researchers. The book is addressed to graduate students and researchers interested in geometric invariant theory and related subjects. It will be easily accessible to readers with a basic understanding of differential geometry and does not require any knowledge of algebraic geometry.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 3030892999
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 21 November 2021
Listed Since: 10 September 2021

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Springer The Moment-Weight Inequality and the Hilbert–Mumford Criterion: GIT from the Differential Geometric Viewpoint: 2297 (Lecture Notes in Mathematics, 2297)

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