Categorification of Seidel's representation

Two natural symplectic constructions, the Lagrangian suspension and Seidel's quantum representation of the fundamental group of the group of Hamiltonian diffeomorphisms, Ham(M), with (M,\omega) a monotone symplectic manifold, admit categorifications as actions of the fundamental groupoid \Pi(Ham(M)) on a cobordism category recently introduced in \cite{Bi-Co:cob2} and, respectively, on a monotone variant of the derived Fukaya category. We show that the functor constructed in \cite{Bi-Co:cob2} that maps the cobordism category to the derived Fukaya category is equivariant with respect to these actions.Comment: 32 pages, 4 figures. Updated to agree with the published version. To appear in Israel Journal of Mathematic

Rigidity and gluing for Morse and Novikov complexes

We obtain rigidity and gluing results for the Morse complex of a real-valued Morse function as well as for the Novikov complex of a circle-valued Morse function. A rigidity result is also proved for the Floer complex of a hamiltonian defined on a closed symplectic manifold $(M,\omega)$ with $c_{1}|_{\pi_{2}(M)}=[\omega]|_{\pi_{2}(M)}=0$. The rigidity results for these complexes show that the complex of a fixed generic function/hamiltonian is a retract of the Morse (respectively Novikov or Floer) complex of any other sufficiently $C^{0}$ close generic function/hamiltonian. The gluing result is a type of Mayer-Vietoris formula for the Morse complex. It is used to express algebraically the Novikov complex up to isomorphism in terms of the Morse complex of a fundamental domain. Morse cobordisms are used to compare various Morse-type complexes without the need of bifurcation theory.Comment: 46 pages, LATEX file with XYPIC diagrams, and one .EPS file. Final version, accepted for publication by the Journal of the European Mathematical Societ

MOTIVATION AND RECRUITMENT OF PUBLIC SERVANTS - THE ETHOS OR THE MANAGERIAL MODEL?

The need to continue the reduction of the state bureaucracy and the orientation towards the managerial models from the private sector, the usage of financial incentive systems, generally in the form of merit base promotion and financial rewards, have introduced in the public system the incentives of the market, aiming to lead towards the efficiency and the effectiveness of the private organizations. Those practices considered that the labor force in the public and private systems is substantially the same, avoiding the essential differences between the public and private employees. The public servant does not answer only to financial incentives; a variety of nonfinancial motives affect the behavior: trust, sense of duty, altruism or community reputation. Public managers need to carefully balance the incidence and consistency of financial motivation in time with the impact on the organizational performance as well to avoid treating the public organization as a private company because such a measure does not identify the specific motives of public service and the way a bureaucracy works.Motivation, recruitment, employees, public administration, private companies

A parametric bootstrap for heavytailed distributions

It is known that Efron's resampling bootstrap of the mean of random variables with common distribution in the domain of attraction of the stable laws with infinite variance is not consistent, in the sense that the limiting distribution of the bootstrap mean is not the same as the limiting distribution of the mean from the real sample. Moreover, the limiting distribution of the bootstrap mean is random and unknown. The conventional remedy for this problem, at least asymptotically, is either the m out of n bootstrap or subsampling. However, we show that both these procedures can be quite unreliable in other than very large samples. A parametric bootstrap is derived by considering the distribution of the bootstrap P value instead of that of the bootstrap statistic. The quality of inference based on the parametric bootstrap is examined in a simulation study, and is found to be satisfactory with heavy-tailed distributions unless the tail index is close to 1 and the distribution is heavily skewed.bootstrap inconsistency, stable distribution, domain of attraction, infinite variance