Energy in Yang-Mills on a Riemann Surface

Sengupta's lower bound for the Yang-Mills action on smooth connections on a bundle over a Riemann surface generalizes to the space of connections whose action is finite. In this larger space the inequality can always be saturated. The Yang-Mills critical sets correspond to critical sets of the energy action on a space of paths. This may shed light on Atiyah and Bott's conjecture concerning Morse theory for the space of connections modulo gauge transformations.Comment: 7 pages, 2 figures, Latex2e with epsfig, submitted to Journal of Mathematical Physic

A local hidden variable theory for the GHZ experiment

A recent analysis by de Barros and Suppes of experimentally realizable GHZ correlations supports the conclusion that these correlations cannot be explained by introducing local hidden variables. We show, nevertheless, that their analysis does not exclude local hidden variable models in which the inefficiency in the experiment is an effect not only of random errors in the detector equipment, but is also the manifestation of a pre-set, hidden property of the particles ("prism models"). Indeed, we present an explicit prism model for the GHZ scenario; that is, a local hidden variable model entirely compatible with recent GHZ experiments.Comment: 17 pages, LaTeX, 7 eps figures, computer demo: http://hps.elte.hu/~leszabo/GHZ.html, an improper figure is replace

Quantisation and the Hessian of Mabuchi energy

Let L be an ample bundle over a compact complex manifold X. Fix a Hermitian metric in L whose curvature defines a K\"ahler metric on X. The Hessian of Mabuchi energy is a fourth-order elliptic operator D on functions which arises in the study of scalar curvature. We quantise D by the Hessian E(k) of balancing energy, a function appearing in the study of balanced embeddings. E(k) is defined on the space of Hermitian endomorphisms of H^0(X, L^k), endowed with the L^2-innerproduct. We first prove that the leading order term in the asymptotic expansion of E(k) is D. We next show that if Aut(X,L) is discrete modulo scalars, then the eigenvalues and eigenspaces of E(k) converge to those of D. We also prove convergence of the Hessians in the case of a sequence of balanced embeddings tending to a constant scalar curvature K\"ahler metric. As consequences of our results we prove that a certain estimate of Phong-Sturm is sharp and give a negative answer to a question of Donaldson. We also discuss some possible applications to the study of Calabi flow.Comment: 42 pages. Latest version is substantial revision. Main results now hold with no assumptions on spectral gaps. Applications and potential applications now included. Introduction rewritten to provide more context. To appear in Duke Mathematical Journa

Organizing for Prevailing Wage In Florida

[Excerpt] The Broward AFL-CIO had spent a great deal of its time and member unions\u27 money helping to elect several county commissioners. Now it posed the prevailing wage ordinance as a litmus test: Would county commissioners who had benefited from labor backing and had pledged their support to labor at election time, support it? Or would they side with the Board of Realtors, the Associated Builders and Contractors and other anti-union forces

A complete h-vector for convex polytopes

This note defines a complete h-vector for convex polytopes, which extends the already known toric (or mpih) h-vector and has many similar properties. Complete means that it encodes the whole of the flag vector. First we define the concept of a generalised h-vector and state some properties that follow. The toric h-vector is given as an example. We then define a complete generalised h-vector, and again state properties. Finally, we show that this complete h-vector and all with similar properties will sometimes have negative coefficients. Most of the proofs, and further investigations, will appear elsewhere.Comment: 4 pages, LaTeX, no figure

Worker Centers: Organizing Communities at the Edge of the Dream

[Excerpt] Through their service provision, advocacy, and organizing work, worker centers are helping to set the political agenda and mobilize a growing constituency to make its voice heard on fundamental labor an immigration reform. This work, in and of itself instrumental to a brighter future for low-wage workers in the United States, is also indispensable to the revitalization of organized labor and progressive politics in America