We prove that the Ozsváth-Szabó contact invariant of a closed contact 3manifold with positive 2π–torsion vanishes. In 2002, Ozsváth and Szabó [OSz1] defined an invariant of a closed contact 3-manifold (M, ξ) as an element of the Heegaard Floer homology group ĤF (−M). The definition of the contact invariant was made possible by the work of Giroux [Gi3], which related contact structures and open ...

This paper is concerned with time global behavior of solutions to nonlinear Schrödinger equation a non-vanishing condition at the spatial infinity. Under condition, it would be expected that determined by shape term around state. To observe this phenomenon, we introduce generalized version Gross-Pitaevskii equation, which typical involving modifying nonlinearity It turns out that, if decays fas...

Large eddy simulation techniques offer a wealth of valuable information for engineering design purposes, but in many cases the required mesh resolution is prohibitive. Combining the dynamic LES procedure with unstructured mesh adaptivity offers a robust and efficient way of capturing the inhomogeneity and anisotropy of complex turbulent flows. However, this may result in a non-vanishing commuta...

Phenomenological fits to experimental data provide results for moments of parton distribution functions which allow a direct comparison with lattice calculations. In a recent paper [1] we were able to compute a continuum limit value of the lowest moment of a twist-2 operator, corresponding to the averagemomentum of non-singlet quark densities, in pion states. In obtaining the renormalisation gr...

We study the vanishing neighbourhood of non-isolated singularities of functions on singular spaces by associating a general linear function. We use the carrousel monodromy in order to show how to get a better control over the attaching of thimbles. For one dimensional singularities, we prove obstructions to integer (co)homology groups and to the eigenspaces of the monodromy via monodromies of n...

We prove a few cases of a conjecture on the invariance of cohomological support loci under derived equivalence by establishing a concrete connection with the related problem of the invariance of Hodge numbers. We use the main case in order to study the derived behavior of fibrations over curves.