The complete amino acid sequence of human C-reactive protein has been established. Distant homologies to C3 homology region in the CH2 domain of IgG and to C3a anaphylotoxin have been noted. No homology to other immunoglobulin homology regions or to the same homology region in other heavy chains was observed. The previously reported homologies between rabbit and human C-reactive protein and pro...

It is argued that D-brane charge takes values in K-homology. For smooth manifolds with spin structure, this could explain why the phase factor Ω(x) calculated with a D-brane state x in IIB theory appears in Diaconescu, Moore and Witten’s computation of the partition function of IIA string theory. Diaconescu, Moore and Witten [1] recently compared the partition functions of IIA string theory and...

A multiple-valued transformation T from a space X to a space Y is a function assigning to each point x o f X a nonempty closed subset T(x) of F. The graph of T comprises those points (x, y) in the topological product X Y for which y belongs to T(x). All spaces to be considered shall be compact metric and all transformations T shall be upper semi-continuous, meaning that their graphs are closed,...

Let K be a field of characteristic zero. For integers n,D≥1, let Jn(D) the degree n component free Jordan algebra J(D) over D generators. A conjecture for character (in particular dimension) GL(D)-module is proposed. sl2J(D) Tits-Allison-Gao construction J(D). Two natural conjectures homology Lie are stated, and each them implies previous conjecture. The cyclicity structures, namely that symmet...

We define the contact homology algebra for any manifold and show that it is an invariant of manifold. More precisely, given a (M,?) some auxiliary data D, we HC(D). If D1 D2 are two choices (M,?), then HC(D1) HC(D2) isomorphic. use simplified version Kuranishi perturbation theory, consisting semi-global charts.

For a given endomorphism on a unitary k-algebra, A, with k in the center of A, there are definitions of twisted cyclic and Hochschild homology. This paper will show that the method used to define them can be used to define twisted de Rham homology. The main result is that twisted de Rham homology can be thought of as the kernel of the Connes map from twisted cyclic homology to twisted Hochschil...

the first extended zeroth-order connectivity index of a graph   g is defined as 0 1/2 1 ( ) ( ) ,   v   v v g      g d      where   v   (g) is the vertex set of g, and v d is the sum of degrees of neighbors of vertex v in g. we give a sharp lower bound for the first extended zeroth-order connectivity index of trees with given numbers of vertices and pendant vertices,...