In the present paper,we study partial collapsing degeneration of Hamiltonian-perturbed Floer trajectories for an adiabatic ε-family and its reversal adiabatic gluing,as the prototype of the partial collapsing degener...In the present paper,we study partial collapsing degeneration of Hamiltonian-perturbed Floer trajectories for an adiabatic ε-family and its reversal adiabatic gluing,as the prototype of the partial collapsing degeneration of 2-dimensional(perturbed)J-holomorphic maps to 1-dimensional gradient segments.We consider the case when the Floer equations are S^(1)-invariant on parts of their domains whose adiabatic limit has positive length as ε→0,which we call thimble-flow-thimble configurations.The main gluing theorem we prove also applies to the case with Lagrangian boundaries such as in the problem of recovering holomorphic disks out of pearly configuration.In particular,our gluing theorem gives rise to a new direct proof of the chain isomorphism property between the Morse-Bott version of Lagrangian intersection Floer complex of L by Fukaya-Oh-Ohta-Ono and the pearly complex of L Lalonde and Biran-Cornea.It also provides another proof of the present authors’earlier proof of the isomorphism property of the PSS map without involving the target rescaling and the scale-dependent gluing.展开更多
This paper gives a detailed construction of Seiberg-Witten-Floer homology for a closed oriented 3-manifold with a non-torsion Spin^c structure. Gluing formulae for certain 4-dimensional manifolds splitting along an em...This paper gives a detailed construction of Seiberg-Witten-Floer homology for a closed oriented 3-manifold with a non-torsion Spin^c structure. Gluing formulae for certain 4-dimensional manifolds splitting along an embedded 3-manifold are obtained.展开更多
This article presents research focused on developing and scientifically substantiating a technology for producing environmentally friendly glued structures fromwood treated through a two-stage process.Themethodology i...This article presents research focused on developing and scientifically substantiating a technology for producing environmentally friendly glued structures fromwood treated through a two-stage process.Themethodology involves preliminary thermal modification followed by high-frequency low-temperature plasma treatment.Thermal modification enhances performance characteristics such as resistance to rot,lowers hygroscopicity,and increases dimensional stability.However,it can diminish the adhesive properties of wood,complicating the bonding process.To address this challenge,the study introduces high-frequency low-temperature plasma treatment,which activates the wood surface,improving wettability and adhesion while minimizing glue consumption.Experimental results indicate that plasma treatment reduces the contact angle by 46%and adhesive consumption during bonding by 24%,thereby enhancing the environmental friendliness of the glued structures.Furthermore,this dual treatment process increases the shear strength of adhesive joints by 22.7%and bending strength of glued beams by 66.6%,demonstrating a 30%lower carbon footprint compared to conventional methods.The findings affirm the efficacy of this technology in producing building materials,particularly glued beams for large-span structures.展开更多
The biology treatment of cellulases or hemicellulases is used in this paper. The effects of cellulases and hemicellulases on surface wettability and gluing property of poplar and wheat straw were investigated. It was ...The biology treatment of cellulases or hemicellulases is used in this paper. The effects of cellulases and hemicellulases on surface wettability and gluing property of poplar and wheat straw were investigated. It was found that the surface contact angles of poplar and wheat straw were reduced and the surface free energies were increased after treatment by these enzymes. The gluing strengths of popular and wheat straw were enhanced with the increases of the dosage of enzymes and the time of enzymatic treatment.展开更多
文摘In the present paper,we study partial collapsing degeneration of Hamiltonian-perturbed Floer trajectories for an adiabatic ε-family and its reversal adiabatic gluing,as the prototype of the partial collapsing degeneration of 2-dimensional(perturbed)J-holomorphic maps to 1-dimensional gradient segments.We consider the case when the Floer equations are S^(1)-invariant on parts of their domains whose adiabatic limit has positive length as ε→0,which we call thimble-flow-thimble configurations.The main gluing theorem we prove also applies to the case with Lagrangian boundaries such as in the problem of recovering holomorphic disks out of pearly configuration.In particular,our gluing theorem gives rise to a new direct proof of the chain isomorphism property between the Morse-Bott version of Lagrangian intersection Floer complex of L by Fukaya-Oh-Ohta-Ono and the pearly complex of L Lalonde and Biran-Cornea.It also provides another proof of the present authors’earlier proof of the isomorphism property of the PSS map without involving the target rescaling and the scale-dependent gluing.
文摘This paper gives a detailed construction of Seiberg-Witten-Floer homology for a closed oriented 3-manifold with a non-torsion Spin^c structure. Gluing formulae for certain 4-dimensional manifolds splitting along an embedded 3-manifold are obtained.
基金funded by the Technostart competition,Agreement No.12-22(2-22)dated 01 February 2022.
文摘This article presents research focused on developing and scientifically substantiating a technology for producing environmentally friendly glued structures fromwood treated through a two-stage process.Themethodology involves preliminary thermal modification followed by high-frequency low-temperature plasma treatment.Thermal modification enhances performance characteristics such as resistance to rot,lowers hygroscopicity,and increases dimensional stability.However,it can diminish the adhesive properties of wood,complicating the bonding process.To address this challenge,the study introduces high-frequency low-temperature plasma treatment,which activates the wood surface,improving wettability and adhesion while minimizing glue consumption.Experimental results indicate that plasma treatment reduces the contact angle by 46%and adhesive consumption during bonding by 24%,thereby enhancing the environmental friendliness of the glued structures.Furthermore,this dual treatment process increases the shear strength of adhesive joints by 22.7%and bending strength of glued beams by 66.6%,demonstrating a 30%lower carbon footprint compared to conventional methods.The findings affirm the efficacy of this technology in producing building materials,particularly glued beams for large-span structures.
基金the National Natural Science Foundation of China (30671640)Doctoral Fund of Ministry of Educationof China (20060298004)
文摘The biology treatment of cellulases or hemicellulases is used in this paper. The effects of cellulases and hemicellulases on surface wettability and gluing property of poplar and wheat straw were investigated. It was found that the surface contact angles of poplar and wheat straw were reduced and the surface free energies were increased after treatment by these enzymes. The gluing strengths of popular and wheat straw were enhanced with the increases of the dosage of enzymes and the time of enzymatic treatment.
