88,562 research outputs found
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
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
Looking into the Eye with REAP
Keratoprosthesis is an artificial cornea that is surgically implanted in the eye to replace damaged cornea, correcting corneal blindness. Keratoprosthesis offers a unique solution that eliminates the possible rejection of donor cornea, a common problem with keratoplasty. The design used currently for this procedure is Boston Keratoprosthesis (KPro), but it has some flaws. Boston KPro needs donor cornea for its design, which is in high demand and short supply. The design is also open to the environment, creating a pathway for bacteria to enter the eye and cause permanent damage. My research through the Research Experience and Apprenticeship Program (REAP) at the University of New Hampshire involved creating a new artificial cornea that fixes both of these issues. I started fabricating a cornea out of silk fibroin and gelatin, called a hydrogel, to replace the need for donor cornea. These hydrogels were tested using a rheometer and a scanning electron microscope for the stiffness, mechanical strength, and porousness of the structure, as these qualities have to be similar to a real cornea. It was a success. We created hydrogels that replicated the characteristics of a human cornea and fixed the issues Boston KPro has. REAP was a great opportunity to explore my interests in bioengineering while potentially changing peoples’ lives
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 with
. 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 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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