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...

Fateme Derakhshan-Panah was born in Hamedan (Iran) in 1987. She received her B.S. in Pure Chemistry (2009) and M.S. in Organic Chemistry (2011) from Bu-Ali Sina University, Iran. She is currently working towards her Ph.D. under the supervision of Professor M. A. Zolfigol. Her research interest is organic methodology especially the application of solid acids and ionic liquids in organic synthesis.

a module $m$ is called $emph{h}$-cofinitely supplemented if for every cofinite submodule $e$ (i.e. $m/e$ is finitely generated) of $m$ there exists a direct summand $d$ of $m$ such that $m = e + x$ holds if and only if $m = d + x$, for every submodule $x$ of $m$. in this paper we study factors, direct summands and direct sums of $emph{h}$-cofinitely supplemented modules. let $m$ be an $emph{h}$...

In [46], Witten related topological string theory on the cotangent bundle T M of a three manifold M to the Chern–Simons gauge theory on M . Gopakumar and Vafa [11] related the topological string theory on the deformed conifold (the cotangent bundle T S of the 3–sphere) to that on the resolved conifold (the total space of OP1. 1/ ̊OP1. 1/! P ). These works lead to a duality between the topologica...

Gladiolus is very popular and highly demanded cut flower worldwide however imbalance nutrition reduces its production, additionally irrational combination of nutrient further kindled the situation. The current study was conducted to ascertain the effects of different combinations of N, P and K on growth, floral development, and N, P and K uptake by gladiolus leaves. N, P and K was applied as; w...

A module $M$ is called $emph{H}$-cofinitely supplemented if for every cofinite submodule $E$ (i.e. $M/E$ is finitely generated) of $M$ there exists a direct summand $D$ of $M$ such that $M = E + X$ holds if and only if $M = D + X$, for every submodule $X$ of $M$. In this paper we study factors, direct summands and direct sums of $emph{H}$-cofinitely supplemented modules. Let $M$ be an $emph{H}...

fateme derakhshan-panah was born in hamedan (iran) in 1987. she received her b.s. in pure chemistry (2009) and m.s. in organic chemistry (2011) from bu-ali sina university, iran. she is currently working towards her ph.d. under the supervision of professor m. a. zolfigol. her research interest is organic methodology especially the application of solid acids and ionic liquids in organic synthesis.