The Moment-Weight Inequality and the Hilbert - Mumford Criterion

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. 

https://rapidgator.net/file/f02dc83d1884ce9f6e25226df6a14784/...The.Moment-Weight.Inequality.and.the.Hilbert.-.Mumford.Criterion.rar

https://ddownload.com/wir5dxufzzrr/...The.Moment-Weight.Inequality.and.the.Hilbert.-.Mumford.Criterion.rar

https://nitro.download/view/B215B64A2E12B3B/...The.Moment-Weight.Inequality.and.the.Hilbert.-.Mumford.Criterion.rar