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

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

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Description

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 details

Binding:: Paperback
Edition:: 1
Number of Pages:: 200
Release Date:: 2021-12-05
Publication Date:: 2021-11-21
Publisher:: Springer
Languages:: Published: English, Original: English
ISBN10:: 3030892999
GPSR Manufacturer Reference:: [email protected]
Weight:: 314 g
Height:: 23.5 cm
Width:: 15.5 cm
Thickness:: 1.1 cm

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