Virtual Manifolds and Localization  

作　　者：Bohui CHEN Gang TIAN 

机构地区：[1]Department of Mathematics and Yangtze Mathematical Center, Sichuan University, Chengdu 610064, P. R. China [2]Department of Mathematics, Peking University, Beijing 100084, P. R. China [3]Department of Mathematics, Princeton University, Princeton, New Jersey 08544-1000, USA

出　　处：《Acta Mathematica Sinica,English Series》2010年第1期1-24,共24页数学学报（英文版）

基　　金：supported by an NSF key project;a 973 project 2006CB805900

摘　　要：In this paper, we explore the virtual technique that is very useful in studying the moduli problem from a differential geometric point of view. We introduce a class of new objects ＂virtual manifolds/orbifolds＇, on which we develop the integration theory. In particular, the virtual localization formula is obtained.In this paper, we explore the virtual technique that is very useful in studying the moduli problem from a differential geometric point of view. We introduce a class of new objects ＂virtual manifolds/orbifolds＇, on which we develop the integration theory. In particular, the virtual localization formula is obtained.

关 键 词：virtual manifolds LOCALIZATION Fredholm system moduli space 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术] O189.31[自动化与计算机技术—计算机科学与技术]