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K-THEORY: 作品数：32被引量：18H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：许天周更多>>; 相关机构：北京理工大学更多>>; 相关期刊：《Science China Mathematics》《Journal of Beijing Institute of Technology》《Algebra Colloquium》《Journal of Donghua University(English Edition)》更多>>; 相关基金：国家自然科学基金上海市自然科学基金福建省自然科学基金重庆市自然科学基金更多>>

Open Cones and K-Theory for l^(p)Roe Algebras: 《Chinese Annals of Mathematics,Series B》2024年第6期943-956,共14页Jianguo ZHANG; supported by the National Natural Science Foundation of China(Nos.12171156,12271165,12301154).; In this paper,the author verifies the l^(p)coarse Baum-Connes conjecture for open cones and shows that the K-theory for l^(p) Roe algebras of open cones is independent of p∈[1,∞).Combined with the result of Fukaya a...; 关键词：K-THEORY l^(p)Roe algebras Open cones

The Coarse l^(p)-Novikov Conjecture and Banach Spaces with Property(H): 《Chinese Annals of Mathematics,Series B》2024年第2期193-220,共28页Huan WANG Qin WANG; supported by the National Natural Science Foundation of China(Nos.12171156);the Science and Technology Commission of Shanghai Municipality(No.22DZ2229014)。; In this paper,for 1; 关键词：The coarse l^(p)-Novikov conjecture Banach spaces with Property(H) Coarse geometry K-THEORY

A note on quantum odometers: 《Science China Mathematics》2023年第7期1555-1568,共14页Slawomir Klimek Matt McBride J.Wilson Peoples; We discuss various aspects of noncommutative geometry of smooth subalgebras of Bunce-Deddens-Toeplitz algebras.; 关键词：noncommutative geometry DERIVATION smooth subalgebra K-THEORY

Verlinde/Grassmannian Correspondence and Rank 2 δ-Wall-Crossing: 《Peking Mathematical Journal》2023年第1期217-306,共90页Yongbin Ruan Ming Zhang; The bulk of this work was done during the first author’s tenure at University of Michigan and he was partially supported by NSF grant DMS 1807079 and NSF FRG grant DMS 1564457.; Motivated by Witten’s work,we propose a K-theoretic Verlinde/Grassmannian correspondence which relates the GL Verlinde numbers to the K-theoretic quasimap invariants of the Grassmannian.We recover these two types of ...; 关键词：Verlinde/Grassmannian correspondence Quantum K-theory Gauged linear sigma model

Quantum K-theory and q-difference Equations: 《Acta Mathematica Sinica,English Series》2022年第10期1677-1704,共28页Yong Bin RUAN Yao Xiong WEN; supported by a KIAS Individual Grant(MG083901)at Korea Institute for Advanced Study;a POSCO Science fellowship。; This is a set of lecture notes for the first author’s lectures on the difference equations in2019 at the Institute of Advanced Study for Mathematics at Zhejiang University.We focus on explicit computations and exampl...; 关键词：Quantum K-theory q-difference equation

On the classification of certain real rank zero C^(*)-algebras: 《Science China Mathematics》2022年第4期753-792,共40页Qingnan An Zhichao Liu Yuanhang Zhang; supported by Northeast Normal University and National Natural Science Foundation of China(Grant No.11531003);supported by University of Toronto and National Natural Science Foundation of China(Grant No.11531003);supported by the Science and Technology Development Project of Jilin Province(Grant No.20190103028JH);National Natural Science Foundation of China(Grant Nos.11601104,11671167 and 11201171).; In this paper,we give a classification of real rank zero C^(*)-algebras that can be expressed as inductive limits of a sequence of a subclass of Elliott-Thomsen algebras C.; 关键词：Elliott-Thomsen algebra KK-theory KK-lifting mod-p K-theory CLASSIFICATION

Equivariant eta forms and equivariant differential K-theory: 《Science China Mathematics》2021年第10期2159-2206,共48页Bo Liu; Science and Technology Commission of Shanghai Municipality(STCSM)(Grant No.18dz2271000);Natural Science Foundation of Shanghai(Grant No.20ZR1416700);National Natural Science Foundation of China(Grant No.11931007)。; In this paper,we propose a new numerical scheme for the coupled Stokes-Darcy model with the Beavers-Joseph-Saffman interface condition.We use the weak Galerkin method to discretize the Stokes equation and the mixed fi...; 关键词：equivariant eta form equivariant differential K-theory equivariant spectral section equivariant higher spectral flow ORBIFOLD

Metrics with Positive Scalar Curvature at Infinity and Localization Algebra: 《Chinese Annals of Mathematics,Series B》2021年第2期173-198,共26页Xiaofei ZHANG Yanlin LIU Hongzhi LIU; This work was supported by the National Natural Science Foundation of China(Nos.11811530291,11831006,11771092)。; In this paper, the authors give a new proof of Block and Weinberger’s Bochner vanishing theorem built on direct computations in the K-theory of the localization algebra.; 关键词：Positive scalar curvature at infinity K-theory of C^(*)-algebras Higher index theory

Chen-Ruan Cohomology and Stringy Orbifold K-Theory for Stable Almost Complex Orbifolds: 《Chinese Annals of Mathematics,Series B》2020年第5期741-760,共20页Chengyong DU Tiyao LI; supported by the National Natural Science Foundation of China(Nos.11501393,11626050,11901069);Sichuan Science and Technology Program(No.2019YJ0509);joint research project of Laurent Mathematics Research Center of Sichuan Normal University and V.C.&V.R.Key Lab of Sichuan Province,by Science and Technology Research Program of Chongqing Education Commission of China(No.KJ1600324);Natural Science Foundation of Chongqing,China(No.cstc2018jcyjAX0465).; Comparing to the construction of stringy cohomology ring of equivariant sta-ble almost complex manifolds and its relation with the Chen-Ruan cohomology ring of the quotient almost complex orbifolds,the authors constru...; 关键词：Stable almost complex orbifolds Chen-Ruan cohomology Orbifold K-theory Stringy product

Persistence Approximation Property for Maximal Roe Algebras: 《Chinese Annals of Mathematics,Series B》2020年第1期1-26,共26页Qin WANG Zhen WANG; supported by the National Natural Science Foundation of China(Nos.11771143,11831006,11420101001).; Persistence approximation property was introduced by Hervé Oyono-Oyono and Guoliang Yu. This property provides a geometric obstruction to Baum-Connes conjecture. In this paper, the authors mainly discuss the persiste...; 关键词：Quantitative K-THEORY PERSISTENCE approximation property MAXIMAL coarse Baum-Connes conjecture MAXIMAL ROE ALGEBRAS

K-THEORY