{"product_id":"georgoulas-valentina-the-moment-weight-inequality-and-the-hilbert-mumford-criterion-git-from-the-differential-geometric-viewpoint-lecture-notes-in-mathematics-band-2297-9783030892999","title":"The Moment-Weight Inequality and the Hilbert–Mumford Criterion: GIT from the Differential Geometric Viewpoint (Lecture Notes in Mathematics, Band 2297)","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":"Springer","offers":[{"title":"Used - good","offer_id":53191510196566,"sku":null,"price":0.0,"currency_code":"EUR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0925\/5829\/5382\/files\/product_image_9783030892999_1.jpg?v=1782332022","url":"https:\/\/www.momoxbooks.com\/products\/georgoulas-valentina-the-moment-weight-inequality-and-the-hilbert-mumford-criterion-git-from-the-differential-geometric-viewpoint-lecture-notes-in-mathematics-band-2297-9783030892999","provider":"momoxbooks","version":"1.0","type":"link"}