A conjectural generating function for numbers of curves on surfaces

I give a conjectural generating function for the numbers of $\delta$-nodal curves in a linear system of dimension $\delta$ on an algebraic surface. It reproduces the results of Vainsencher for the case $\delta\le 6$ and Kleiman-Piene for the case $\delta\le 8$. The numbers of curves are expressed in terms of five universal power series, three of which I give explicitly as quasimodular forms. This gives in particular the numbers of curves of arbitrary genus on a K3 surface and an abelian surface in terms of quasimodular forms, generalizing the formula of Yau-Zaslow for rational curves on K3 surfaces. The coefficients of the other two power series can be determined by comparing with the recursive formulas of Caporaso-Harris for the Severi degrees in $\P_2$. We verify the conjecture for genus 2 curves on an abelian surface. We also discuss a link of this problem with Hilbert schemes of points.Comment: amslatex 13 page

Relocation goals, implementation and evaluation of the process with reference to the West End Redevelopment Project in Boston, Massachusetts

Thesis (M.C.P.)--Massachusetts Institute of Technology, Dept. of City and Regional Planning, 1960.Includes bibliographical references (leaves 141-142).by Gordon N. Gottsche.M.C.P

The role of ethical business behaviour awareness in consumer sports supplement purchase intentions

The gap between ethical purchase intentions and ethical purchase behaviour is well-documented. Although this gap can be bridged by increasing the level of awareness among consumers with regards to ethical business practices, it was found that consumers between the ages of 19 to 56 years were already aware of ethical organisations and business practices in the South African sports supplement industry. They are however unaware of companies that operate unethically. Several factors such as brand familiarity, price and convenience were found to compete with ethical business behaviour during the purchase decision-making process. It is thus recommended that organisations that incorporate ethical business behaviour at a strategic level should provide ethical products that are competitively priced, convenient to use and from a brand that is familiarGraduate School of Business LeadershipM.B.A

Thermal characteristics of a classical solar telescope primary mirror

We present a detailed thermal and structural analysis of a 2m class solar telescope mirror which is subjected to a varying heat load at an observatory site. A 3-dimensional heat transfer model of the mirror takes into account the heating caused by a smooth and gradual increase of the solar flux during the day-time observations and cooling resulting from the exponentially decaying ambient temperature at night. The thermal and structural response of two competing materials for optical telescopes, namely Silicon Carbide -best known for excellent heat conductivity and Zerodur -preferred for its extremely low coefficient of thermal expansion, is investigated in detail. The insight gained from these simulations will provide a valuable input for devising an efficient and stable thermal control system for the primary mirror.Comment: 14 pages, 8 figures, Accepted for publication in New Astronom

Four-Dimensional Avatars of Two-Dimensional RCFT

We investigate a 4D analog of 2D WZW theory. The theory turns out to have surprising finiteness properties and an infinite-dimensional current algebra symmetry. Some correlation functions are determined by this symmetry. One way to define the theory systematically proceeds by the quantization of moduli spaces of holomorphic vector bundles over algebraic surfaces. We outline how one can define vertex operators in the theory. Finally, we define four-dimensional ``conformal blocks'' and present an analog of the Verlinde formula.Comment: 28pp. harvmac l-mode, Talk presented at Strings 95 and at the Trieste Conference on S-Duality and Mirror Symmetry. References added, misprints corrected, improved discussion of the gauged actio

Five-dimensional gauge theory and compactification on a torus

We study five-dimensional minimally supersymmetric gauge theory compactified on a torus down to three dimensions, and its embedding into string/M-theory using geometric engineering. The moduli space on the Coulomb branch is hyperkaehler equipped with a metric with modular transformation properties. We determine the one-loop corrections to the metric and show that they can be interpreted as worldsheet and D1-brane instantons in type IIB string theory. Furthermore, we analyze instanton corrections coming from the solitonic BPS magnetic string wrapped over the torus. In particular, we show how to compute the path-integral for the zero-modes from the partition function of the M5 brane, or, using a 2d/4d correspondence, from the partition function of N=4 SYM theory on a Hirzebruch surface.Comment: 30 pages, 2 figures; v2: typos corrected, added references, JHEP versio

Developing sustainability in a dental practice through an Action Research approach

Introduction: For dental practices to become more environmentally sustainable, the full cooperation of all practice staff can lead to greater engagement with proposed initiatives. Action Research is a participatory approach to change that involves participants in the decisions that affect them. Aim: The aim of this study was to collaboratively develop interventions to improve environmental sustainability at one dental practice. Methods: This was a mixed methods study following an Action Research process for intervention design. The study was set in a mixed NHS / private dental practice in England, UK. Results: Participants engaged in the process and were able to choose the measures they wished to implement. Feedback showed that whilst some measures had been discarded, others had led to changes both in professional and personal behaviour. Conclusion: Action Research offers an innovative and constructive method of engaging participants in developing their own sustainability strategies and can encourage positive change