We derive some quadratic recursion relations for some Hodge integrals by virtual localization and obtain many closed formulas. We apply our formulas to the local geometry of toric Fano surfaces in a Calabi-Yau threefo...We derive some quadratic recursion relations for some Hodge integrals by virtual localization and obtain many closed formulas. We apply our formulas to the local geometry of toric Fano surfaces in a Calabi-Yau threefold and compute some of the numbers $n_\beta ^g$ in Gopakumar-Vafa's formula for all g in this case.展开更多
To obtain a primary overview of gene diversity and expression pattern inLycoris longituba, 4,992 ESTs (Expressed Sequence Tags) from L. longituba bud were se-quenced and4,687 cleaned ESTs were used for gene expression...To obtain a primary overview of gene diversity and expression pattern inLycoris longituba, 4,992 ESTs (Expressed Sequence Tags) from L. longituba bud were se-quenced and4,687 cleaned ESTs were used for gene expression analysis. Clustered by the PHRAP program, 967contigs and 1,343 singlets were obtained. Blast search showed that 179 contigs and 227 singlets(totally 1,066 ESTs) had homologues in GenBank and 3,621 ESTs were novel.展开更多
We explain how deformation theories of geometric objects such as complexstructures, Poisson structures and holomorphic bundle structures lead to differential Gerstenhaberor Poisson algebras. We use homological perturb...We explain how deformation theories of geometric objects such as complexstructures, Poisson structures and holomorphic bundle structures lead to differential Gerstenhaberor Poisson algebras. We use homological perturbation theory to construct A_∞ algebra structures onthe cohomology, and their canonically defined deformation. Such constructions are used to formulatea version of A_∞ algebraic mirror symmetry.展开更多
文摘We derive some quadratic recursion relations for some Hodge integrals by virtual localization and obtain many closed formulas. We apply our formulas to the local geometry of toric Fano surfaces in a Calabi-Yau threefold and compute some of the numbers $n_\beta ^g$ in Gopakumar-Vafa's formula for all g in this case.
基金Hi-tech Research &Development Program of China (863 Program, No. 2002AA241051) and Science & Technology Program for Agriculture Development of Shanghai.
文摘To obtain a primary overview of gene diversity and expression pattern inLycoris longituba, 4,992 ESTs (Expressed Sequence Tags) from L. longituba bud were se-quenced and4,687 cleaned ESTs were used for gene expression analysis. Clustered by the PHRAP program, 967contigs and 1,343 singlets were obtained. Blast search showed that 179 contigs and 227 singlets(totally 1,066 ESTs) had homologues in GenBank and 3,621 ESTs were novel.
文摘We explain how deformation theories of geometric objects such as complexstructures, Poisson structures and holomorphic bundle structures lead to differential Gerstenhaberor Poisson algebras. We use homological perturbation theory to construct A_∞ algebra structures onthe cohomology, and their canonically defined deformation. Such constructions are used to formulatea version of A_∞ algebraic mirror symmetry.
