The Moment-Weight Inequality and the Hilbert–Mumford Criterion
Georgoulas, Valentina, Robbin, Joel W., Salamon, Dietmar Arno
Produktnummer:
18ed61f21443554d6a9426c70065979df1
| Autor: | Georgoulas, Valentina Robbin, Joel W. Salamon, Dietmar Arno |
|---|---|
| Themengebiete: | Geometric Invariant Theory Hamiltonian Group Action Hilbert-Mumford Criterion Kempf-Ness Function Kähler Manifold Moment-weight Inequality Moment Map Mumford Weights Symplectic Geometry |
| Veröffentlichungsdatum: | 21.11.2021 |
| EAN: | 9783030892999 |
| Sprache: | Englisch |
| Seitenzahl: | 192 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
| Untertitel: | GIT from the Differential Geometric Viewpoint |
Produktinformationen "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.
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