In this paper we study two different topics. The first topic is the applications of the geometric quantization scheme of Witten introduced in [2] and [15] to the problem of the quantum background independence in string theory. The second topic is the introduction of a Z structure on the tangent space of the moduli space of polarized CY threefolds M(M). Based on the existence of a Z structure on...

In this work, we discuss the quantum mechanics on the moduli space consisting of two maximally charged dilaton black holes. We study the quantum effects resulting from the different structure of the moduli space geometry in the scattering process.

Recently, Functionally Graded Scaffolds (FGSs) have attracted a lot of attention as bone replacements due to their gradient porosities as well as a bone structure. In present study titanium functionally graded scaffolds (FGSs) were fabricated by powder metallurgy route using Mg and carbamide as space holders. The arranged layers with 20, 40 and 60 Vol.% porosities were compacted in steel die us...

In 3-dimensional Euclidean space Scherk second surfaces are singly periodic embedded minimal surfaces with 4 planar ends. In this paper, we obtain a natural generalization of Scherk’s second surfaces in higher dimensional Euclidean spaces. In particular we show that, in higher dimensional Euclidean spaces R, for n ≥ 3, there exists n−1-periodic embedded minimal hypersurfaces with 4 hyperplanar ...

The problem of construction of fiber bundle over the moduli space of the Skyrme model is considered. We analyse an extension of the original Skyrme model which includes the minimal interaction with fermions. An analogy with modili space of the fermion-monopole system is used to construct a fiber bundle structure over the skyrmion moduli space. The possibility of the non-trivial holonomy appeara...

Let V be a rational quadratic space of signature (m,2). A conjecture Kudla relates the arithmetic degrees top degree special cycles on an integral model Shimura variety associated with SO(V) to coefficients central derivative incoherent Siegel Eisenstein series genus m+1. We prove this for non-singular index T when is not positive definite. also it definite and corresponding cycle has dimension...