The importance of explicit examples of Lagrangian submanifolds of moduli spaces is revealed by papers such as [9, 25]: given a 3-manifold M with boundary ∂M = Σ, Dostoglou and Salamon use such examples to obtain a proof of the Atiyah-Floer conjecture relating the symplectic Floer homology of the representation space Hom(π1(Σ = ∂M), U)/U (associated to an explicit pair of Lagrangian submanifolds...

We have studied reactions between linear Cn(+) (n = 4-9) and D2, using ion mobility mass spectrometry techniques and quantum chemical calculations in order to understand the complex reactivity of the linear cluster cations. Only linear CnD(+) products were observed for the odd (n = 5, 7, 9) linear clusters, while CnD2(+) was the main product for the even clusters. For the reaction rate constant...

The A(2)Πg ← X(2)Πu electronic transition (4800-6000 Å) of triacetylene cation was measured in an ion trap, where the vibrational and rotational degrees of freedom were equilibrated to 25 K. The rotational profile of the origin band is predicted by a collisional-radiative rate model under conditions expected in diffuse interstellar clouds. Variation in the density of the surrounding gas, rotati...

The acetylene ν1+ν5(Πu)←ν4(Πg) hot band has been reinvestigated at high resolution (≤10−3cm−1). Vibrationally excited but rotationally cold C2H2 (≈ 30 K) is probed in a supersonically expanding planar plasma by continuous-wave (cw) mid-infrared cavity ring-down spectrometer nearly Doppler free condition. Low J-value rovibrational transitions corresponding to the Q-branch are recorded for first ...

The acetylene ν1+ν5(Πu)←ν4(Πg) hot band has been reinvestigated at high resolution (≤10−3cm−1). Vibrationally excited but rotationally cold C2H2 (≈ 30 K) is probed in a supersonically expanding planar plasma by continuous-wave (cw) mid-infrared cavity ring-down spectrometer nearly Doppler free condition. Low J-value rovibrational transitions corresponding to the Q-branch are recorded for first ...

Low-energy electron impact excitations of N2 molecules are studied using the fixed-bond R-matrix method based on state-averaged complete active space SCF orbitals. Thirteen target electronic states of N2 are included in the model within a valence configuration interaction representations of the target states. Integrated as well as differential cross sections of the AΣu , B 3 Πg, W∆u, B 3 Σ − u ...

Metastable N2 molecules produced by electron impact on N2 are detected using a unique solid nitrogen matrix detector. The time-of-flight system is shown to be selectively sensitive to a(1)Πg and (1)Σg (+) or (1)Γg metastable species. The latter species had been identified theoretically previously but was detected experimentally for the first time in the present investigation. Their identificati...

Consider a finite groupG acting on a Riemann surface S, and the associated branched Galois cover πG : S → Y = S/G. We introduce the concept of geometric signature for the action of G, and we show that it captures much information: the geometric structure of the lattice of intermediate covers, the isotypical decomposition of the rational representation of the group G acting on the Jacobian varie...

We report the measured total charge-transfer (electron-capture) cross sections for the ground state + 2 O (X Πg) ions with H2 and O2 molecular gases in the collision energy range between 0.50 and 2 keV. The time-of-flight technique has been used to measure the fast neutral products from + 2 O charge transfer reactions. The analyzed process has cross sections that continue to increase slowly, as...

For linear plans of the first entry ΠG (N + 1)-dimensional Pólya random walks with stopping boundary $$ G:\sum \limits_{m=0}^N{a}_m{x}_m=n closedness domain and asymptotic estimates some numerical characteristics are found. The authors describe scenarios for convergence distributions generated by these in “rare events” to N-dimensional α- generalized Poisson distribution a rather wide range n\a...