ORBIFOLD

作品数:43被引量:8H指数:1
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相关作者:温俊青林奕武罗伟陈钢邹洋杨更多>>
相关机构:四川大学西北大学广东金融学院杭州大学更多>>
相关期刊:《理论数学》《Science China Mathematics》《Chinese Physics Letters》《佳木斯大学学报(自然科学版)》更多>>
相关基金:国家自然科学基金上海市自然科学基金重庆市自然科学基金王宽诚敎育基金更多>>
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Permutation orbifolds of vertex operator superalgebras and associative algebras
《Science China Mathematics》2025年第1期19-38,共20页Chongying Dong Feng Xu Nina Yu 
supported by National Natural Science Foundation of China(Grant Nos.11971396,12131018 and 12161141001).
Let V be a vertex operator superalgebra and g=(12···k)be a k-cycle which is viewed as an automorphism of the tensor product vertex operator superalgebra V^(■k).In this paper,we construct an explicit isomorphism fr...
关键词:permutation orbifold vertex operator superalgebra Zhu algebra 
Quantum Curve and Bilinear Fermionic Form for the Orbifold Gromov–Witten Theory of P[r]
《Acta Mathematica Sinica,English Series》2024年第1期43-80,共38页Chong Yao CHEN Shuai GUO 
Supported by National Key R&DProgram of China(Grant No.2020YFE0204200);NSFC(Grant Nos.12225101,12061131014 and 11890660)。
We construct the quantum curve for the Baker-Akhiezer function of the orbifold Gromov-Witten theory of the weighted projective line P[r].Furthermore,we deduce the explicit bilinear Fermionic formula for the(stationary...
关键词:Quantum curve Free Fermions Gromov-Witten invariants Orbifold P^(1) 
Double Ramification Cycles with Orbifold Targets
《Acta Mathematica Sinica,English Series》2022年第8期1333-1376,共44页Bo Hui CHEN Cheng Yong DU Rui WANG 
Supported by the National Natural Science Foundation of China(Grant Nos.11890663,12071322,11890660,11826102);the National Key R&D Program of China(Grant No.2020YFA0714000);the Sichuan Science and Technology Program(Grant Nos.2019YJ0509 and 2022JDTD0019);a joint research project of Laurent Mathematics Research Center of Sichuan Normal University and V.C.&V.R.Key Lab of Sichuan Province。
In this paper,we consider double ramification cycles with orbifold targets.An explicit formula for double ramification cycles with orbifold targets,which is parallel to and generalizes the one known for the smooth cas...
关键词:Root of orbifold line bundles polynomiality double ramification cycle absolute/relative orbifold Gromov–Witten theory 
Orbifold Fundamental Group and Deck Translation Group
《Chinese Quarterly Journal of Mathematics》2022年第2期147-161,共15页LIN Yi-wu 
Supported by General Project of Science Research of Guangzhou(Grant No.2017070126);National Natural Science Foundation of China(Grant No.11226034).
In this paper, we define the notions of orbifold loop and orbifold road, with which, we reformulate the definition of orbifold fundamental group and deck translation group. We show that, for each orbifold, the orbifol...
关键词:Groupoid presentation Orbifold loop Orbifold road Orbifold fundamental group Deck translation group 
Representations and Fusion Rules for the Orbifold Vertex Operator Algebras L_(sl_(2))(k,0)^(Z_(3))
《Algebra Colloquium》2022年第2期241-264,共24页Bing Wang 
supported by the National Natural Science Foundation of China(Grant No.11771281);the Natural Science Foundation of Shanghai(Grant No.16ZR1417800)。
For the cyclic group Z_(3)and a positive integer k,we study the representations of the orbifold vertex operator algebra L_(sl_(2))(k,0)^(Z_(3)).All the irreducible modules for L_(sl_(2))(k,0)^(Z_(3))are classified and...
关键词:orbifold vertex operator algebras irreducible modules fusion rules 
Orbifold Stiefel-Whitney Classes of Real Orbifold Vector Bundles over Right-Angled Coxeter Complexes
《Chinese Annals of Mathematics,Series B》2022年第1期33-50,共18页Lisu WU 
This work was supported by the National Natural Science Foundation of China(No.11971112).
The author gives a definition of orbifold Stiefel-Whitney classes of real orbifold vector bundles over special q-CW complexes(i.e.,right-angled Coxeter complexes).Simi-larly to ordinary Stiefel-Whitney classes,orbifol...
关键词:Right-Angled Coxeter orbifold Stiefel-Whitney class Group representation 
Permutation orbifolds and associative algebras
《Science China Mathematics》2022年第2期259-268,共10页Chongying Dong Feng Xu Nina Yu 
supported by National Natural Science Foundation of China(Grant Nos.11871351,11871150 and 11971396)。
Let V be a vertex operator algebra and g =(1 2 ··· k) be a k-cycle which is viewed as an automorphism of the vertex operator algebra V?k. It is proved that Dong-Li-Mason’s associated associative algebra Ag(V?k) is...
关键词:vertex operator algebra permutation orbifold Zhu algebra 
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 
Orbifold Gromov-Witten theory of weighted blowups被引量:1
《Science China Mathematics》2020年第12期2475-2522,共48页Bohui Chen Cheng-Yong Du Rui Wang 
supported by National Natural Science Foundation of China(Grant Nos.11890663,11821001,11826102 and 11501393);the Sichuan Science and Technology Program(Grant No.2019YJ0509);a joint research project of Laurent Mathematics Research Center of Sichuan Normal University and V.C.&V.R.Key Lab of Sichuan Province。
Consider a compact symplectic sub-orbifold groupoid S of a compact symplectic orbifold groupoid(X,ω).LetXabe the weight-a blowup of X along S,and Da=PNa be the exceptional divisor,where N is the normal bundle of S in...
关键词:orbifold Gromov-Witten theory Leray-Hirsch result weighted projective bundle weighted blowup root stack blowup along complete intersection 
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 
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