Bases on multipunctured Riemann surfaces and interacting strings amplitudes

The Krichever-Novikov bases are studied on Riemann surfaces with more-than-two punctures. The bases are presented and the completness theorem is proven for the case of integer (up to a common constant) momenta. Then the interacting strings are considered, the amplitudes and partition functions are obtained, comparable with that of path-integral approach. For the amplitudes the simple geometric implication is proposed.     

On equivalence of Floer's and quantum cohomology

We show that the Floer cohomology and quantum cohomology rings of the almost Kähler manifoldM, both defined over the Novikov ring of the loop space M, are isomorphic. We do it using a BRST trivial deformation of the topological A-model. The relevant aspect of noncompactness of the moduli of pseudoholomorphic instantons is discussed. It is shown nonperturbatively that any BRST trivial deformation of A model which does not change the dimensions of BRST cohomology does not change the topological correlation functions either.     

The influence of the nature and features of carrier on activity and efficiency of catalyst in reaction of nitrous oxide decomposition

Data of activity of rhodium catalysts prepared on different carriers in reactions of nitrous oxide decomposition is presented; this data gave the possibility to choose the most promising carrier for the elaboration of the catalyst of nitrous oxide decomposition and to use it in high energy plants such as micro rocket engines of space shuttles management systems.     

Determination of the temperature distribution in liquids and solids using holographic interferometry

It is shown that holographic interferometry can be applied to solve two problems: heating of a glass plate by a complex heat source and nonisothermal flow of a submerged jet around a wedge. The process of isolating and numbering the skeletal lines on the interferograms is automated and direct calculations are made of the temperature fields. Zh. Tekh. Fiz. 69, 106–111 (June 1999)     

Traveling wave with allowance for equilibrium radiation

Three modes of propagation of a traveling-wave front over a noncold gas with different propagation velocities are found using one thermodynamic model. When the indicated velocity is low, transition from constant values of the gas parameters on both sides of the traveling-wave front proceeds continuously. An increase in the traveling-wave velocity leads to an isothermal jump: the density and velocity of the gas undergo a strong discontinuity whereas the temperature varies continuously. With a further increase in the traveling-wave velocity, the isothermal jump disappears and the flow becomes continuous again. __________ Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 4, pp. 15–25, July–August, 2006.     

Quantum-chemical calculation of the thermodynamics of multistep hydrolysis of MX<Subscript>4</Subscript> molecules (M = C,Si, Ge; X = H,F, Cl) in the gas phase

The standard enthalpies, entropies, and Gibbs free energies of separate stages of the multistep hydrolysis of MX₄ molecules (M = C, Si, Ge; X = H, F, Cl) in the gas phase at 298 K were calculated by the G3 high-precision quantum-chemical method of calculation of thermodynamic parameters. The trends in these parameters were analyzed for each group of molecules. The calculated thermodynamic parameters make it possible to estimate the theoretical limits for the contents of water and hydrolysis products in the above high-purity carbon, silicon, and germanium derivatives.     

Quantum cohomology of partial flag manifoldsF_{n_1 } \ldots _{n_k }

We compute the quantum cohomology rings of the partial flag manifolds . The inductive computation uses the idea of Givental and Kim [1]. Also we define a notion of the vertical quantum cohomology ring of the algebraic bundle. For the flag bundle (E) associated with the vector bundleE this ring is found.     

On a dynamic system arising from a finite-dimensional approximation of the Schrödinger equation

This work was supported by the Russian Foundation for Fundamental Research, Grant No. 93-011-16045.