In this paper,we study the global singular symplectic flops related to the following affine hypersurface with cyclic quotient singularities,Vr,b={(x,y,z,t)∈C4|xy-z2r+t2=0}/μr(a,-a,b,0),r 2,where b=1 appears in Mori...In this paper,we study the global singular symplectic flops related to the following affine hypersurface with cyclic quotient singularities,Vr,b={(x,y,z,t)∈C4|xy-z2r+t2=0}/μr(a,-a,b,0),r 2,where b=1 appears in Mori’s minimal model program and b=1 is a new class of singularities in symplectic birational geometry.We prove that two symplectic 3-orbifolds which are singular flops to each other have isomorphic Ruan cohomology rings.The proof is based on the symplectic cutting argument and virtual localization technique.展开更多
Comparing to the Ch-~Ruan cohomology theory for the almost complex orbifolds, we study the orbifold cohomology theory for almost contact orbifolds. We define the Chen-Ruan cohomology group of any almost contact orbifo...Comparing to the Ch-~Ruan cohomology theory for the almost complex orbifolds, we study the orbifold cohomology theory for almost contact orbifolds. We define the Chen-Ruan cohomology group of any almost contact orbifold. Using the methods for almost complex orbifolds, we define the obstruction bundle for any 3-multisector of the almost contact orbifolds and the Chen^Ruan cup product for the Che-Ruan cohomology. We also prove that under this cup product the direct sum of all dimensional orbifold cohomology groups constitutes a cohomological ring. Finally we calculate two examples.展开更多
Scholarly research regarding Ruan Ji 阮籍 has predom inantly revolved either around his five-word Yonghuai Poetry( Poems from my Heart,詠懷詩). From the perspective of Escape and Escapism,the paper we call the imagery...Scholarly research regarding Ruan Ji 阮籍 has predom inantly revolved either around his five-word Yonghuai Poetry( Poems from my Heart,詠懷詩). From the perspective of Escape and Escapism,the paper we call the imagery in Ruan Ji's poetry,including his Fu-Poetry,four-word Poems as well as five-word poems,is escapist imagery. Ruan Ji has a kind of escapism complex which the paper talks over by case studies,i. e."Dongping fu"东平赋,four-word Poem IX and Poem XIII,and five-word Poem I and Poem LX X IX to find a new perspective to read Ruan Ji. This escapism complex is closely connected to Ruan Ji's unique mode of existence.展开更多
RUAN Lingyu was a famous film star during the early years of China’s film industry. Originally named Ruan Yuying, she was born into a poor family in Shanghai in 1910. Her ancestors were from Zhongshan County, Guangdo...RUAN Lingyu was a famous film star during the early years of China’s film industry. Originally named Ruan Yuying, she was born into a poor family in Shanghai in 1910. Her ancestors were from Zhongshan County, Guangdong Province. Her father died when she was young, and the little展开更多
基金supported by National Natural Science Foundation of China (Grant Nos. 11171235,11071176,11071173 and 11221101)Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20100181110071)the Fundamental Research Funds for the Central Universities of China (Grant No. SWJTU12BR028)
文摘In this paper,we study the global singular symplectic flops related to the following affine hypersurface with cyclic quotient singularities,Vr,b={(x,y,z,t)∈C4|xy-z2r+t2=0}/μr(a,-a,b,0),r 2,where b=1 appears in Mori’s minimal model program and b=1 is a new class of singularities in symplectic birational geometry.We prove that two symplectic 3-orbifolds which are singular flops to each other have isomorphic Ruan cohomology rings.The proof is based on the symplectic cutting argument and virtual localization technique.
基金supported in part by NSFC Project 60603004, 10631060
文摘Comparing to the Ch-~Ruan cohomology theory for the almost complex orbifolds, we study the orbifold cohomology theory for almost contact orbifolds. We define the Chen-Ruan cohomology group of any almost contact orbifold. Using the methods for almost complex orbifolds, we define the obstruction bundle for any 3-multisector of the almost contact orbifolds and the Chen^Ruan cup product for the Che-Ruan cohomology. We also prove that under this cup product the direct sum of all dimensional orbifold cohomology groups constitutes a cohomological ring. Finally we calculate two examples.
文摘Scholarly research regarding Ruan Ji 阮籍 has predom inantly revolved either around his five-word Yonghuai Poetry( Poems from my Heart,詠懷詩). From the perspective of Escape and Escapism,the paper we call the imagery in Ruan Ji's poetry,including his Fu-Poetry,four-word Poems as well as five-word poems,is escapist imagery. Ruan Ji has a kind of escapism complex which the paper talks over by case studies,i. e."Dongping fu"东平赋,four-word Poem IX and Poem XIII,and five-word Poem I and Poem LX X IX to find a new perspective to read Ruan Ji. This escapism complex is closely connected to Ruan Ji's unique mode of existence.
文摘RUAN Lingyu was a famous film star during the early years of China’s film industry. Originally named Ruan Yuying, she was born into a poor family in Shanghai in 1910. Her ancestors were from Zhongshan County, Guangdong Province. Her father died when she was young, and the little
