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Orbifold Gromov-Witten theory of weighted blowups

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Science China Mathematics 2020年第12期63卷 2475-2522页

作者： Bohui Chen cheng-yong du Rui Wang Department of Mathematics and Yangtze Center of Mathematics Sichuan UniversityChengdu 610064China School of Mathematical Sciences and V.C.&V.R.Key Lab Sichuan Normal UniversityChengdu 610068China Department of Mathematics University of CaliforniaBerkeleyBerkeleyCA 94720USA

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 *** this paper we show that the absolute orbifold Gromov-Witten theory ofXacan be effectively and uniquely reconstructed from the absolute orbifold Gromov-Witten theories of X,S and Da,the natural restriction homomorphism HCR^*(X)→HCR*(S)and the first Chern class of the tautological line bundle over *** achieve this we first prove similar results for the relative orbifold Gromov-Witten theories of(Xa|Da)and(Na|Da).As applications of these results,we prove an orbifold version of a conjecture of Maulik and Pandharipande(Topology,2006)on the Gromov-Witten theory of blowups along complete intersections,a conjecture on the Gromov-Witten theory of root constructions and a conjecture on the Leray-Hirsch result for the orbifold Gromov-Witten theory of Tseng and You(J Pure Appl Algebra,2016).

关键词： orbifold Gromov-Witten theory Leray-Hirsch result weighted projective bundle weighted blowup root stack blowup along complete intersection

Double Ramification Cycles with Orbifold Targets

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Acta Mathematica Sinica,English Series 2022年第8期38卷 1333-1376页

作者： Bo Hui CHEN cheng yong du Rui WANG Department of Mathematics Sichuan UniversityChengdu 610064P.R.China School of Mathematical Sciences V.C.&V.R.Key Lab and Laurent Mathematics CenterSichuan Normal UniversityChengdu 610068P.R.China Department of Mathematics University of CaliforniaBerkeleyCA 94720-3840USA

In this paper,we consider double ramification cycles with orbifold *** explicit formula for double ramification cycles with orbifold targets,which is parallel to and generalizes the one known for the smooth case,is **... 详细信息

关键词： Root of orbifold line bundles polynomiality double ramification cycle absolute/relative orbifold Gromov–Witten theory

A New Gluing Recursive Relation for Linear Sigma Model of P^1-orbifold

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Acta Mathematica Sinica,English Series 2013年第9期29卷 1757-1772页

作者： Xiao Bin LI Bo Hui CHEN cheng yong du Department of Mathematics Sichuan University Chengdu 610064 P. R. China Department of Mathematics Southwestern Jiaotong University Department of Mathematics and Yangtze Mathematical Center Sichuan University Department of Mathematics Sichuan University

The study of the moduli space plays an important role in classical enumerative geometry and its interaction with string theory in physics. Given X=[P1/Zr] and let x＇ = （[0]a , [∞]b） the 2-tuple of twisted sectors on X , we construct in this paper two different compactifications of the moduli space M0,2（X, d[P1/Zr], x＇）： Nonlinear Sigma Model Mx＇d and Linear Sigma Model Nx＇d . Relations between Mx＇d and Nx＇d are studied and a new gluing recursive relation on Nx＇d is derived from Mx＇d due to virtual localization formula.

关键词： Orbifold Gromov–Witten invariant nonlinear (linear) Sigma model orbi-gluing recursive relation

轨形Gromov-Witten不变量沿光滑点的加权涨开公式

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数学学报（中文版） 2017年第4期60卷 689-704页

作者：杜承勇四川师范大学数学与软件科学学院成都610068

本文考虑,当一个紧辛轨形群胚(X,ω)沿着光滑点作加权涨开时,它的形如_(g,A)~X的轨形Gromov-Witten不变量的变化公式,其中[pt]∈H_(dR)^(2n)(X)是生成元,dimX=2n.我们证明了对于非零A∈H_2(|X|,Z),_(g,A)~X={_(g_1,pl(A)-e’)~xdimX=4,g≥0,∑((-1)g_1·2)/(2g_1+2)!_(g_2,pl(A)-e’)~xdimX=6,g≥0,_(g_1,pl(A)-e’)~xdimX≥8,g=0其中x是X沿一光滑点的权α=(α_1,…,α_n)的加权涨开,且α_1≥α_i,2≤i≤n.

关键词：加权涨开轨形Gromov-Witten不变量加权涨开公式

Gromov-Witten不变量沿曲线与曲面的加权吹胀公式

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中国科学：数学 2023年第1期53卷 65-80页

作者：杜承勇四川师范大学数学科学学院成都610068 四川师范大学可视化计算与虚拟显示四川省重点实验室成都610068 四川师范大学洛朗·拉福格数学研究中心成都610068

本文研究当一个闭辛流形X沿着2维和4维辛子流形S(即辛曲线或辛曲面)作加权吹胀(weighted blowup)时它的Gromov-Witten不变量的变化情形.在关于丛TX|S的(半)正性的假设下,本文得到整洁的加权吹胀公式.

关键词：加权吹胀 Gromov-Witten不变量 (半)正性曲线与曲面

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弦上同调的Hodge结构

数学学报（中文版） 2021年第4期64卷 637-654页

作者：杜承勇李体耀四川师范大学数学科学学院&洛朗·拉福格数学研究中心成都610068 重庆师范大学数学科学学院重庆401331

对于一个满足"强Lefschetz条件"的K(a|")hler SL-G-流形(X,ω),本文在弦上同调Hk(X,G)上构造了一个Hodge结构,在素弦上同调FHk(X,ω,G)上构造了一个极化Hodge结构,然后通过弦Dolbeault上同调H*,*(X,G)在H*(X,G)上得到了一个被X上所有K(a|")hler类所极化的混合Hodge结构.所有这些(极化混合)Hodge结构都附带一个自然的G-作用.本文证明这些(极化混合)Hodge结构的G-不变部分同构于对应的整体商K(a|")hler SL-轨形(X=[X/G],σ)的Chen-Ruan上同调群的(极化混合)Hodge结构,其中σ是由ω所诱导的X上的K(a|")hler形式.

关键词：弦上同调 G-Hodge结构极化混合G-Hodge结构

Effect of glucocorticoid on MIP-1α and NF-кb expressing in the lung of rats undergoing mechanical ventilation with a high tidal volume

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World Journal of Emergency Medicine 2011年第1期2卷 66-69页

作者： Zhi-hong Liu Xin-ri Zhang Xiao-yun Hu Meng-yu cheng Jian-ying Xu yong-cheng du Department of Respiratory Medicine First Hospital of Shanxi Medical University Taiyuan 030001 China

BACKGROUND： Ventilator induced lung injury （VILI） is a serious complication in the treatment of mechanical ventilating patients, and it is also the main cause that results in exacerbation or death of patients. In this study, we produced VILI models by using glucocorticoid in rats with high tidal volume mechanical ventilation, and observed the content of macrophage inflammatory protein-1α （MIP-1α） in plasma and bronchoalveolar lavage fluid （BALF） and the expression of MIP-1α mRNA and nuclear factor-kappa B （NF-кB） p65 mRNA in the lung so as to explore the role of glucocorticoid in mechanical ***： Thirty-two healthy Wistar rats were randomly divided into a control group, a ventilator induced lung injury （VILI） group, a dexamethasone （DEX） group and a budesonide （BUD） group. The content of MIP-1a in plasma and BALF was measured with ELISA and the level of MIP-1α mRNA and NF-кBp65 mRNA expressing in the lung of rats were detected by RT-PCR. The data were expressed as mean±SD and were compared between the ***： The content of MIP-1α in plasma and BALF and the level of MIP-1α mRNA and NF-кBp65 mRNA in the lung in the DEX and BUD groups were signifi cantly lower than those in the VILI group （P〈0.001）. Although the content of MIP-1α in plasma and BALF and the level of MIP-1α mRNA and NF-кBp65 mRNA in the lung in the BUD group were higher than those in the DEX group, there were no signifi cant differences between them （P〉0.05）.CONCLUSIONS： Glucocorticoid could down-regulate the expression of MIP-1α by inhibiting the activity of NF-кB in the lung and may exert preventive and therapeutic effects on VILI to some extent. The effect of local use of glucocorticoid against VILI is similar to that of systemic use, but there is lesser adverse reaction.

关键词： Mechanical ventilation Lung injury Macrophage inflammatory protein-1α Nuclear factor-kappa B Glucocorticoid Infiammation

Mutual regulation of microglia and astrocytes after Gas6 inhibits spinal cord injury

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Neural Regeneration Research 2025年第2期20卷 557-573页

作者： Jiewen Chen Xiaolin Zeng Le Wang Wenwu Zhang Gang Li Xing cheng Peiqiang Su yong Wan Xiang Li Department of Spine Surgery The First Affiliated HospitalSun Yat-sen UniversityGuangzhouGuangdong ProvinceChina Guangdong Province Key Laboratory of Orthopedics and Traumatology GuangzhouGuangdong ProvinceChina

Invasive inflammation and excessive scar formation are the main reasons for the difficulty in repairing nervous tissue after spinal cord *** and astrocytes play key roles in the spinal cord injury micro-environment and share a close ***,the mechanisms involved remain *** this study,we found that after spinal cord injury,resting microglia(M0)were polarized into pro-inflammatory phenotypes(MG1 and MG3),while resting astrocytes were polarized into reactive and scar-forming *** expression of growth arrest-specific 6(Gas6)and its receptor Axl were significantly down-regulated in microglia and astrocytes after spinal cord *** vitro experiments showed that Gas6 had negative effects on the polarization of reactive astrocytes and pro-inflammatory microglia,and even inhibited the cross-regulation between *** further demonstrated that Gas6 can inhibit the polarization of reactive astrocytes by suppressing the activation of the Yes-associated protein signaling ***,in turn,inhibited the polarization of pro-inflammatory microglia by suppressing the activation of the nuclear factor-κB/p65 and Janus kinase/signal transducer and activator of transcription signaling *** vivo experiments showed that Gas6 inhibited the polarization of pro-inflammatory microglia and reactive astrocytes in the injured spinal cord,thereby promoting tissue repair and motor function ***,Gas6 may play a role in the treatment of spinal cord *** can inhibit the inflammatory pathway of microglia and polarization of astrocytes,attenuate the interaction between microglia and astrocytes in the inflammatory microenvironment,and thereby alleviate local inflammation and reduce scar formation in the spinal cord.

关键词： astrocytes Axl cell polarization Gas6 Hippo signal inflammatory micro-environment intercellular interaction microglia single-cell sequencing spinal cord injury

Crystallization Modulation and Holistic Passivation Enables Efficient Two‑Terminal Perovskite/CuIn(Ga)Se_(2)Tandem Solar Cells

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Nano-Micro Letters 2025年第1期17卷 205-215页

作者： Cong Geng Kuanxiang Zhang Changhua Wang Chung Hsien Wu Jiwen Jiang Fei Long Liyuan Han Qifeng Han Yi‑Bing cheng yong Peng State Key Laboratory of Advanced Technology for Materials Synthesis and Processing Wuhan University of TechnologyWuhan 430070People’s Republic of China Triumph Photovoltaic Materials Co. Ltd.No.1001 Yannan AvenueHigh‑Tech Development DistrictBengbuAnhui 233000People’s Republic of China College of Materials Science and Engineering Guilin University of TechnologyGuilin 541004People’s Republic of China State Key Laboratory of Metal Matrix Composites Shanghai Jiao Tong UniversityShanghai 200240People’s Republic of China

Two-terminal(2-T)perovskite(PVK)/CuIn(Ga)Se_(2)(CIGS)tandem solar cells(TSCs)have been considered as an ideal tandem cell because of their best bandgap matching regarding to Shockley–Queisser(S–Q)***,the nature of the irregular rough morphology of commercial CIGS prevents people from improving tandem device *** this paper,D-homoserine lactone hydrochloride is proven to improve coverage of PVK materials on irregular rough CIGS surfaces and also passivate bulk defects by modulating the growth of PVK *** addition,the minority carriers near the PVK/C60 interface and the incompletely passivated trap states caused interface recombination.A surface reconstruction with 2-thiopheneethylammonium iodide and N,N-dimethylformamide assisted passivates the defect sites located at the surface and grain ***,LiF is used to create this field effect,repelling hole carriers away from the PVK and C60 interface and thus reducing *** a result,a 2-T PVK/CIGS tandem yielded a power conversion efficiency of 24.6%(0.16 cm^(2)),one of the highest results for 2-T PVK/CIGS TSCs to our *** validation underscores the potential of our methodology in achieving superior performance in PVK/CIGS tandem solar cells.

关键词： PVK/CIGS TSCs Irregular rough surfaces Modulating the growth PVK/C60 interface recombination