辛轨形群胚的辛邻域定理

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英文篇名：Symplectic Neighborhood Theorem for Symplectic Orbifold Groupoids 作者：杜承勇 ; 陈柏辉 ; 王蕊 英文作者：Cheng Yong DU;Bo Hui CHEN;Rui WANG;School of Mathematics, Sichuan Normal University;School of Mathematics and Yangtze Center of Mathematics,Sichuan University;Department of Mathematics,University of California; 关键词：子轨形群胚 ; 轨形管状邻域 ; 辛子轨形群胚 ; 辛邻域 ; Lagrangian邻域 英文关键词：sub-orbifold groupoid;;orbifold tubular neighborhood;;symplectic suborbifold groupoid;;symplectic neighborhood;;Lagrangian neighborhood 中文刊名：SXXB 英文刊名：Acta Mathematica Sinica(Chinese Series) 机构：四川师范大学数学与软件科学学院;四川大学数学学院长江数学中心;Department of Mathematics University of California,Irvine; 出版日期：2018-03-14 出版单位：数学学报(中文版) 年：2018 期：v.61 基金：国家自然科学基金资助项目(11501393,11431001);; 四川省教育厅资助科研项目(15ZB0027);; IBS project#IBS-R003-D1 语种：中文; 页：SXXB201802003 页数：16 CN：02 ISSN：11-2038/O1 分类号：43-58

摘要

本文给出一种几何的子轨形群胚的定义,还给出了判定子轨形群胚的依据,并证明了紧子轨形群胚的轨形管状邻域、紧辛子轨形群胚的辛邻域和紧Lagrangian子轨形群胚的Lagrangian邻域的存在性.
        We give a geometric definition of sub-orbifold groupoid, and a criterion for determining a sub-orbifold groupoid. Then we prove the existence of orbifold tubular neighborhoods of compact sub-orbifold groupoids, the existence of symplectic neighborhoods of compact symplectic sub-orbifold groupoids in symplectic orbifold groupoids,and, the existence of Lagrangian neighborhoods of compact Lagrangian sub-orbifold groupoids.

引文

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