ar X iv : m at h / 99 11 18 4 v 1 [ m at h . A G ] 2 3 N ov 1 99 9 REGULARITY OF THE MODULI SPACE OF INSTANTON BUNDLES

ar X iv : a lg - g eo m / 9 71 10 28 v 1 2 1 N ov 1 99 7 On moduli spaces of 4 - or 5 - instanton bundles

We study the scheme of multi-jumping lines of an n-instanton bundle mainly for n ≤ 5. We apply it to prove the irreducibility and smoothness of the moduli space of 5-instanton. Some particular situations with higher c 2 are also studied.

ar X iv : m at h / 99 11 03 9 v 1 [ m at h . A T ] 7 N ov 1 99 9 A classification of S 3 - bundles over S 4

We classify the total spaces of S-bundles over S up to homotopy equivalence, homeomorphism and diffeomorphism. These total spaces have been of interest to both topologists and geometers. They play an important role in the recent work of Grove and Ziller [GZ], where it is shown that each of these total spaces admits metrics with non-negative sectional curvature.

ar X iv : h ep - t h / 94 10 11 8 v 2 2 2 N ov 1 99 4 WILSON LOOPS , qq̄ and 3 q POTENTIALS , BETHE – SALPETER EQUATION

ar X iv : m at h / 99 11 07 4 v 1 [ m at h . Q A ] 1 1 N ov 1 99 9 CRYSTAL GRAPHS FOR BASIC REPRESENTATIONS OF THE QUANTUM AFFINE

We give a realization of crystal graphs for basic representations of the quantum affine algebra Uq(C (1) 2) in terms of new combinatorial objects called the Young walls.

ar X iv : h ep - l at / 9 41 10 15 v 1 9 N ov 1 99 4 1 Instanton size distributions from calibrated cooling

Using an under-relaxed cooling algorithm we investigated the vacuum in the 2d O(3) model and 4d pure gauge SU (2). We calibrated the amount of cooling performed to have similar physical effect at different lattice spacings.