{"product_id":"9783030892999","title":"Lecture Notes in Mathematics: GIT from the Differential Geometric Viewpoint","description":"\u003ch1\u003eLecture Notes in Mathematics: GIT from the Differential Geometric Viewpoint\u003c\/h1\u003e \u003ch2\u003eGeorgoulas, Valentina; Robbin, Joel W.; Salamon, Dietmar Arno\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cdiv\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.\u003cbr\u003e\u003cbr\u003e\n\u003c\/div\u003e\u003cdiv\u003eThe 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\/div\u003e\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2021-11-21\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783030892999\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-030-89300-2\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 192\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45369839779980,"sku":"9783030892999","price":53.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783030892999.jpg?v=1775675795","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783030892999","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}