| 书目名称 | Counting Surfaces | | 副标题 | CRM Aisenstadt Chair | | 编辑 | Bertrand Eynard | | 视频video | http://file.papertrans.cn/240/239123/239123.mp4 | | 概述 | First book on explaining the random matrix method to enumerate maps and Riemann surfaces The method has been discovered recently (between 2004 and 2007), and is presently explained only in very few sp | | 丛书名称 | Progress in Mathematical Physics | | 图书封面 |  | | 描述 | .The problem of enumerating maps (a map is a set of polygonal "countries" on a world of a certain topology, not necessarily the plane or the sphere) is an important problem in mathematics and physics, and it has many applications ranging from statistical physics, geometry, particle physics, telecommunications, biology, ... etc. This problem has been studied by many communities of researchers, mostly combinatorists, probabilists, and physicists. Since 1978, physicists have invented a method called "matrix models" to address that problem, and many results have been obtained..Besides, another important problem in mathematics and physics (in particular string theory), is to count Riemann surfaces. Riemann surfaces of a given topology are parametrized by a finite number of real parameters (called moduli), and the moduli space is a finite dimensional compact manifold or orbifold of complicated topology. The number of Riemann surfaces is the volume of that moduli space. Mor.e generally, an important problem in algebraic geometry is to characterize the moduli spaces, by computing not only their volumes, but also other characteristic numbers called intersection numbers..Witten‘s conjecture | | 出版日期 | Book 2016 | | 关键词 | Algebraic geometry; Combinatorics; Field theory; Integrability; Matrix model; Moduli Spaces; Riemann surfa | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-7643-8797-6 | | isbn_ebook | 978-3-7643-8797-6Series ISSN 1544-9998 Series E-ISSN 2197-1846 | | issn_series | 1544-9998 | | copyright | Springer International Publishing Switzerland 2016 |
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