ar X iv : c on d - m at / 9 50 70 94 v 2 2 4 Ju l 1 99 5 Invaded cluster algorithm for equilibrium critical points

ar X iv : d g - ga / 9 50 70 04 v 1 2 4 Ju l 1 99 5 LOCALISATION OF THE DONALDSON ’ S INVARIANTS ALONG SEIBERG - WITTEN CLASSES

This article is a first step in establishing a link between the Donaldson polynomials and Seiberg-Witten invariants of a smooth 4-manifold.

ar X iv : c on d - m at / 9 20 70 23 v 1 2 0 Ju l 1 99 2 Melting a copper cluster : Critical droplet theory

We simulate the melting of a 71 Å diameter cluster of Cu. At low temperatures the crystal exhibits facets. With increasing temperatures the open facets pre–melt, the melted regions coalesce into a liquid envelope containing a crystalline nucleus, and the nucleus finally goes unstable to the supercooled liquid. Using critical droplet theory and experimental data for Cu, we explain the thermodyna...

ar X iv : a lg - g eo m / 9 70 70 16 v 1 2 5 Ju l 1 99 7 RATIONAL CURVES ON QUASI - PROJECTIVE SURFACES

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ar X iv : c on d - m at / 9 20 70 13 v 1 1 4 Ju l 1 99 2 The Majorana Fermions for Quantum S = 1 / 2 Antiferromagnet ?

abstract Recently it has been suggested by A. M. Tsvelik that quantum S=1/2 an-tiferromagnet can be described by the Majorana fermions in an irreducible way and without any constraint. In contrast to this claim we shall show that this representation is highly reducible. It is a direct sum of four irreducible fundamental representations of su(2) algebra.

ar X iv : h ep - p h / 94 07 39 7 v 1 2 9 Ju l 1 99 4 Analysis of the anomalous events e + e − → l + l −