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Operations on 3-Dimensional Small Covers

Operations on 3-Dimensional Small Covers
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摘要 The purpose of this paper is to study relations among equivariant operations on 3-dimensional small covers. The author gets three formulas for these operations. As an application, the Nishimura＇s theorem on the construction of oriented 3-dimensional small covers and the Lu-Yu＇s theorem on the construction of all 3-dimensional small covers are improved. Moreover, for a construction of 3-dimensional 2-torus manifolds, it is shown that all operations can be obtained by using the equivariant surgeries.
作者 Shintaro KUROKI
机构地区 Department of Mathematical Science School of Mathematical Sciences
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2010年第3期393-410,共18页 数学年刊（B辑英文版）
基金 Project supported by Fudan University the Fujyukai Foundation and Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (No. 2009-0063179)
关键词 Equivariant surgery Finite group action Small cover 3-dimensional manifold 3-dimensional simple polytope 3维 保护套 面积定理 小型建筑 经营业务 三维
分类号 P208 [天文地球—地图制图学与地理信息工程] TG385.2 [金属学及工艺—金属压力加工]
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参考文献13

  • 1Buchstaber, V. M. and Panov, T. E., Torus actions and their applications in topology and combinatorics, Univ. Lect. Ser.Vol. 24, A. M. S. Providence, RI, 2002.
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Chinese Annals of Mathematics,Series B
2010年 第3期

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