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Equivariant Cobordism of Torus Orbifolds: 《Chinese Annals of Mathematics,Series B》2021年第6期861-890,共30页Soumen SARKAR DongYoup SUH; supported by the National Research Foundation of Korea(NRF for short)grant funded by the Korea government(MSIP)(No.2016R1A2B4010823)。; Torus orbifolds are topological generalizations of symplectic toric orbifolds.The authours give a construction of smooth orbifolds with torus actions whose boundary is a disjoint union of torus orbifolds using a toric...; 关键词：Manifold with corners Torus action Torus orbifolds Equivariant cobordism

Nonexistence of the NNSC-cobordism of Bartnik data: 《Science China Mathematics》2021年第7期1357-1372,共16页Bo Leyang Shi Yuguang; supported by National Natural Science Foundation of China(National Key R&D Program of China)(Grant No.11731001);Postdoctoral Science Foundation of China(Grant No.2020M680171)。; In this paper,we consider the problem of the nonnegative scalar curvature(NNSC)-cobordism of Bartnik data(∑_(1)^(n-1),γ_(1),H_(1))and(∑_(2)^(n-1),γ_(2),H_(2)).We prove that given two metricsγ_(1)andγ_(2)on S^(n-...; 关键词：COBORDISM scalar curvature mean curvature

Number of fixed points for unitary T^n-1-manifold: 《Frontiers of Mathematics in China》2019年第4期819-831,共13页Shiyun WEN Jun MA; Let M be a 2n-dimensional closed unitary manifold with a T^n-1- action with only isolated fixed points. In this paper, we first prove that the equivariant cobordism class of a unitary T^n-1-manifold M is just determin...; 关键词：UNITARY torus MANIFOLD EQUIVARIANT CHERN NUMBER COBORDISM localization theorem

On the Contribution of Wu Wen-Tsün to Algebraic Topology被引量：1: 《Journal of Systems Science & Complexity》2019年第1期3-36,共34页BRASSELET Jean-Paul; The aim of this article is to present the contribution of Wu Wen-Tsün to Algebraic Topology and more precisely to the theory of characteristic classes. Several papers provide complete and welldocumented biography and...; 关键词：ALGEBRAIC topology characteristic CLASS COBORDISM theory mathematical PHYSICS WU CLASS

A Homomorphism between Circuit Cobordism Groups and Pseudohomology Groups over Configuration Space B: 《Acta Mathematica Sinica,English Series》2016年第12期1415-1429,共15页Shao Feng WANG; We develop a new method to perturb singular circuits in configuration space B with trivial isotropy groups, and construct a homomorphism Ф. between its circuit cobordism groups and pseudo- homology groups. This work ...; 关键词：HOMOMORPHISM circuit cobordism pseudohomology

On the Stringy Ghosts Which We Call the Missing Dark Energy of the Cosmos被引量：1: 《Journal of Applied Mathematics and Physics》2016年第6期979-987,共9页Mohamed S. El Naschie; Dark energy is explained using familiar notions and concepts used in quantum field theory, string theory and the exact mathematical theory of spacetime. The main result of the present work is first a new mathematical ...; 关键词：Quantum Spacetime Quantum Ghost States Dark Energy Spacetime Cobordism E-Infinity Theory Fractal-Cantorian Spacetime Noncommutative Geometry ‘t Hooft-Susskind Holography

Fundamental groups, homology equivalences and one-sided h-cobordisms: 《Science China Mathematics》2015年第9期2003-2014,共12页SU Yang YE ShengKui; supported by National Natural Science Foundation of China(Grand No.10901151);RDF-13-02-08 of Xi’an Jiaotong-Liverpool University; We give a necessary and sufficient condition for the fundamental group homomorphism of a map between CW-complexes(manifolds) to induce partial homology equivalences. As applications, we obtain characterizations of fun...; 关键词：Quillen’s plus construction homology equivalence one-sided h-cobordism

Stabilization of 4-manifolds: 《Science China Mathematics》2014年第9期1835-1840,共6页CHO YongSeung; supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education(Grant No.2013004848); The complex surface X obtained by 8 points blown up on CP2 and Barlow’s surface Y are homeomorphic,but not diffeomorphic.Using the Gromov-Witten invariant Ruan showed that the stabilized manifolds X×S2and Y×S2are n...; 关键词：cosymplectic manifold symplectic manifold Gromov-Witten invariant h-cobordism Whitehead group DEFORMATION

COBORDISM AND ROKHLIN CONGRUENCES: 《Acta Mathematica Scientia》2009年第3期609-612,共4页张伟平; partially supported by MOEC and NSFC; In this paper, we give a cobordism proof of the higher dimensional Rokhlin congruences established in [8].; 关键词：COBORDISM Rokhlin congruence

The Degree of Symmetry of Certain Compact Smooth Manifolds II: 《Chinese Annals of Mathematics,Series B》2007年第2期195-204,共10页Bin XU Department of Mathematics, University of Science and Technology of China, Hefei 230026, China Chern Institute of Mathematics, Nankai University, Tianjin 300071, China Department of Mathematics, Johns Hopkins University, Baltimore, MD 21218, USA.; Project supported by the Japanese Government Scholarship;the Japan Society for the Promotion of Science Postdoctoral Fellowship for Foreign Researchers;the Focused Research Group Postdoctoral Fellowship;the Program of Visiting Scholars at Chern Institute of Mathematics;the National Natural Science Foundation of China (No. 10601053).; We give the sharp estimates for the degree of symmetry and the semi-simple degree of symmetry of certain compact fiber bundles with non-trivial four dimensional fibers in the sense of cobordism, by virtue of the rigid...; 关键词：Degree of symmetry Fiber bundle COBORDISM Non-positive Curvature Harmonic map First cohomology

COBORDISM