The perturbation of the Seiberg-Witten equations revisited

We introduce a new class of perturbations of the Seiberg-Witten equations. Our perturbations offer flexibility in the way the Seiberg-Witten invariants are constructed and also shed a new light to LeBrun's curvature inequalities.Comment: typos correcte

Ultraviolet Property of Noncommutative Wess-Zumino-Witten Model

We construct noncommutative extension of the Wess-Zumino-Witten (WZW) model and study its ultraviolet property. The \beta-function of the U(N) noncommutative WZW model resembles that of the ordinary WZW model. The U(1) noncommutative model has also a nontrivial fixed point.Comment: 7 pages, 1 figur

Nuclear liquid-gas phase transition studied with antisymmetrized molecular dynamics

The nuclear liquid-gas phase transition of the system in ideal thermal equilibrium is studied with antisymmetrized molecular dynamics. The time evolution of a many-nucleon system confined in a container is solved for a long time to get a microcanonical ensemble of a given energy and volume. The temperature and the pressure are extracted from this ensemble and the caloric curves are constructed. The present work is the first time that a microscopic dynamical model which describes nuclear multifragmentation reactions well is directly applied to get the nuclear caloric curve. The obtained constant pressure caloric curves clearly show the characteristic feature of the liquid-gas phase transition, namely negative heat capacity (backbending), which is expected for the phase transition in finite systems.Comment: 31 pages, 8 figures, added formalism details, several improvements and new results, submitted to Phys. Rev.

Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten invariants

We prove a nilpotency theorem for the Bauer-Furuta stable homotopy Seiberg-Witten invariants for smooth closed 4-manifolds with trivial first Betti number.Comment: This is the version published by Geometry & Topology Monographs on 29 January 200