Polyethylene terephthalate glycol,PETG,is a miscible,transparent thermoplastic known to have strong tensile properties,high ductility,as well as resistance to heat and chemical insults.PETG may be manufactured in seve...Polyethylene terephthalate glycol,PETG,is a miscible,transparent thermoplastic known to have strong tensile properties,high ductility,as well as resistance to heat and chemical insults.PETG may be manufactured in several ways,most notably 3D printing modalities.As such,PETG has emerged as a viable biomaterial for a variety of medical applications such as tissue engineering,dentistry,optometry,vascular health,cardiology,orthopedics,neurology,gynecology,and surgery.PETG also serves a valuable role in biomedical research and engineering by offering improvements in cell studies,drug carriers,and anti-bacterial measures.Further medical research and innovation utilizing PETG will better characterize its value as an inexpensive and versatile biomaterial.展开更多
We use the Atiyah-Bott-Segal-Singer Lefschetz fixed point fornula to calculate the Hirzebruch Xy genus Xy(S[n]), where S[n] is the Hilbert scheme of points of length n of a surface 5. Combinatorial interpretation of t...We use the Atiyah-Bott-Segal-Singer Lefschetz fixed point fornula to calculate the Hirzebruch Xy genus Xy(S[n]), where S[n] is the Hilbert scheme of points of length n of a surface 5. Combinatorial interpretation of the weights of the fixed points of the natural torus action on (C2)[n] is used. This is the first step to prove a conjectural formula about the elliptic genus of the Hilbert schemes.展开更多
文摘Polyethylene terephthalate glycol,PETG,is a miscible,transparent thermoplastic known to have strong tensile properties,high ductility,as well as resistance to heat and chemical insults.PETG may be manufactured in several ways,most notably 3D printing modalities.As such,PETG has emerged as a viable biomaterial for a variety of medical applications such as tissue engineering,dentistry,optometry,vascular health,cardiology,orthopedics,neurology,gynecology,and surgery.PETG also serves a valuable role in biomedical research and engineering by offering improvements in cell studies,drug carriers,and anti-bacterial measures.Further medical research and innovation utilizing PETG will better characterize its value as an inexpensive and versatile biomaterial.
文摘We use the Atiyah-Bott-Segal-Singer Lefschetz fixed point fornula to calculate the Hirzebruch Xy genus Xy(S[n]), where S[n] is the Hilbert scheme of points of length n of a surface 5. Combinatorial interpretation of the weights of the fixed points of the natural torus action on (C2)[n] is used. This is the first step to prove a conjectural formula about the elliptic genus of the Hilbert schemes.
