ar X iv : 0 90 2 . 28 05 v 1 [ m at h . D G ] 1 7 Fe b 20 09 Computing the density of Ricci - solitons on CP 2 ♯ 2 CP 2

ar X iv : 0 90 2 . 32 39 v 1 [ m at h . D G ] 1 8 Fe b 20 09 Gauge theory in higher dimensions , II

ar X iv : h ep - t h / 05 09 05 6 v 2 8 Fe b 20 06 Solitons and soliton – antisoliton pairs of a Goldstone model in 3 + 1 dimensions

We study finite energy topologically stable static solutions to a global symmetry breaking model in 3 + 1 dimensions described by an isovector scalar field. The basic features of two different types of configurations are studied, corresponding to axially symmetric multisolitons with topological charge n, and unstable soliton–antisoliton pairs with zero topological charge.

ar X iv : h ep - p h / 01 03 24 0 v 1 2 2 M ar 2 00 1 Vacuum Energy of CP ( 1 ) Solitons

The vacuum energy of two CP (1) solitons on a torus is computed numerically. A numerical technique for the zeta-function regularisation is proposed to remove the divergence of the vacuum energy. After performing the numerical regularisation, we observe the effect of the vacuum energy on the two-soliton configuration.

ar X iv : 0 90 2 . 39 12 v 1 [ m at h . G R ] 2 3 Fe b 20 09 Brent Everitt The Combinatorial Topology

ar X iv : h ep - t h / 99 05 11 3 v 1 1 5 M ay 1 99 9 Soliton vacuum energies and the CP ( 1 ) model

The quantum properties of solitons at one loop can be related to phase shifts of waves on the soliton background. These can be combined with heat kernel methods to calculate various parameters. The vacuum energy of a CP (1) soliton in 2 + 1 dimensions is calculated as an example. Pacs numbers: 11.10.Lm Typeset using REVTEX 1