{"product_id":"moment-weight-inequality-and-the-hilbert-mumford-criterion-9783030893002","title":"Moment-Weight Inequality and the Hilbert-Mumford Criterion","description":"\u003cp\u003eThis 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.�\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52927208292631,"sku":null,"price":6591.63,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783030893002.jpg?v=1777441945","url":"https:\/\/payment.letskitaboo.com\/products\/moment-weight-inequality-and-the-hilbert-mumford-criterion-9783030893002","provider":"Kitaboo One eStore","version":"1.0","type":"link"}