1,245 research outputs found

    Categorification of Seidel's representation

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    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

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

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    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

    Rigidity and gluing for Morse and Novikov complexes

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    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,ω)(M,\omega) with c1π2(M)=[ω]π2(M)=0c_{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 C0C^{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
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