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Two Commuting Involutions Fixing RP_(1)(2m+1)∪RP_(2)(2m+1)被引量：1: 《Chinese Annals of Mathematics,Series B》2021年第5期737-752,共16页Suqian ZHAO Yanying WANG Jingyan LI; supported by the National Natural Science Foundation of China(No.11771116)。; Let Z2 denote a cyclic group of 2 order and Z_(2)^(2)=Z_(2)×Z_(2)the direct product of groups.Suppose that(M,Φ)is a closed and smooth manifold M with a smooth Z_(2)^(2)-action whose fixed point set is the disjoint u...; 关键词：Z_(2)^(2)-action Fixed data Characteristic number Simultaneous bordism Stiefel-Whitney class

On the Equivalence of Integral Tk-Cohomology Chern Numbers and Tk-K-Theoretic Chern Numbers: 《Chinese Annals of Mathematics,Series B》2017年第6期1353-1364,共12页Wei WANG; supported by the National Natural Science Foundation of China(No.11301335); This paper mainly deals with the question of equivalence between equivariant cohomology Chern numbers and equivariant K-theoretic Chern numbers when the transformation group is a torus. By using the equivariant Rieman...; 关键词：Equivariant K-theoretic Chern number Equivariant cohomology Chernnumber Equivariant bordism

INVOLUTIONS WITH FIXED POINT SET RP(2m)∪P(2m, 2n + 1)被引量：4: 《Acta Mathematica Scientia》2014年第2期331-342,共12页孟媛媛王彦英; Supported by NSFC(11371118);SRFDP(20121303110004);HNSF(A2011205075);HNUHH(20110403); Let （M, T） be a smooth closed manifold with a smooth involution T whose fixed point set is a disjoint union of an even-dimensional real projective space and a Dold manifold. In some cases, the equivariant bordism cl...; 关键词：INVOLUTION fixed point set characteristic class bordism class

INVOLUTIONS FIXING ∪（from i=1 to m） CP_i(1) × HP_i(n)被引量：3: 《Acta Mathematica Scientia》2012年第3期1021-1034,共14页赵素倩王彦英; supported by NSFC (10971050;11001073;10901045);HNSFC(A2010000828);FHUST (XL201043;QD201021); Let （M, T） be a closed manifold with an involution T. The fixed point set of T is F. In this article, bordism classes of the involutions with fixed point set F = ^mUi=1 CPi（1）×HPi（n） are determined, where CP（1...; 关键词：INVOLUTION BORDISM fixed point set Stiefel-Whitney class

Involutions Fixing RP（2^m） U P（2^m, 2n- 1）: 《Journal of Mathematical Research and Exposition》2009年第3期544-550,共7页CHEN De Hua WANG Yan Ying; Foundation item： the National Natural Science Foundation of China （No. 10371029）; the Natural Science Foundation of Hebei Province （No. 103144）.; Let （M^2m＋4n＋k-2, T） be a smooth closed manifold with a smooth involution T whose fixed point set is RP（2^m） ∪ P（2^m, 2n - 1）（m 〉 3, n 〉 0）. For 2n ≥ 2^m, （M^2m＋4n＋k-2, T） is bordant to （P（2^m, RP...; 关键词：INVOLUTION fixed point set characteristic class Bordism class

Fiberings with Fiber RP(k): 《Acta Mathematica Sinica,English Series》2005年第5期997-1000,共4页Zuo LIU Zhen De WU; This work is supported by HNSF(Grant No:103144); NNSF of China(10371029); Let κ be non-negative integer. The unoriented bordism classes, which can be represented as [RP（ξ^κ）] where ξ^κ is a k-plane bundle, form an ideal of the unoriented bordism ring MO.. A group of generators of thi...; 关键词：Bordism classes Characteristic number Fibering PARTITION

Bordism theory and the Kervaire semi-characteristic: 《Science China Mathematics》2002年第6期716-720,共5页唐梓洲; This work was supported partially by the Hong Kong Qiu-Shi Foundation, the Outstanding Youth Foundation of China and the Education Foundation of Tsinghua University, as well as the Grants-in-Aid for Science Research of Japanese Ministry of Education.; By using the bordism group, this paper provides an alternative proof of Weiping Zhang's theorem on counting Kervaire semi-characteristic.; 关键词：BORDISM group Kervaire semi-characteristic of manifold.

Bordism Classes of Involutions on RP(2n)、CP(2n) and HP(2n): 《Chinese Quarterly Journal of Mathematics》1999年第2期33-37, ,共5页孟召静王彦英; In this paper we discuss all possible bordism classes of involutions on RP(2n),CP(2n) and HP(2n).; 关键词：INVOLUTION characteristic classes

An Involution on a Closed Manifold with the Fixed Point Set RP(1 )∪P(m,n)被引量：2: 《Chinese Quarterly Journal of Mathematics》1998年第2期16-26, ,共11页郭海英; In this paper,we study all the possible bordism classes for a smooth involution on a smooth closed manifold whose fixed point set is RP(1)∪P(m,n),m>0,n>0.; 关键词：bordism class INVOLUTION

The Cobordism Classification of Involution on DOLD Manifold P(1,2l)被引量：5: 《Acta Mathematica Sinica,English Series》1997年第1期9-20,共12页Wu Zhende Liu Zongze (Department of Mathematics,Hebei Normal University,Shijazhuang 050016,China)Bai Ruipu (Department of Mathematics,Hebei University,Baoding 071002,China); Supported by the Foundation of Tian Yuan;the Natural Science Foundation of Hebei province.; Supposing the smooth involution of the DOLD manifold P(2,2l)satisfies the following condition:the fiberation π:P(1,2l)×T_×(-1)S~∞→RP(∞)is totally nonhomologous to zero(cf.[1, p373]),this paper determines the cla...; 关键词：Stiefel-Whitney class Involution on smooth manifold Bordism class Wu formulas

BORDISM