{"product_id":"9783030892999","title":"Moment-Weight Inequality and the Hilbert–Mumford Criterion","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. ","brand":"Valentina Georgoulas","offers":[{"title":"Default Title","offer_id":47645525246270,"sku":"9783030892999","price":0.0,"currency_code":"ZAR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4357\/7662\/products\/9783030892999.jpg?v=1707700649","url":"https:\/\/exclusivebooks.co.za\/products\/9783030892999","provider":"Exclusive Books Online","version":"1.0","type":"link"}