M ay 1 99 6 LOW M ∗ - ESTIMATES ON COORDINATE SUBSPACES

ar X iv : m at h / 99 05 15 4 v 1 [ m at h . G T ] 2 5 M ay 1 99 9 SUBSPACES OF KNOT SPACES

The inclusion of the space of all knots of a prescribed writhe in a particular isotopy class into the space of all knots in that isotopy class is a weak homotopy equivalence.

0 M ay 1 99 6 Evidence for η ′ – π splitting in unquenched lattice QCD

We perform an extrapolation from negative to positive flavour numbers of full QCD lattice estimates of the η ′ mass. The extrap-olations are carried out by keeping ρ and π masses at fixed values. We find an η ′ – π splitting which shows a flavour dependence consistent with the Witten Veneziano formula based on the U (1) anomaly. The quantitative splitting is consistent with the estimates made i...

ar X iv : h ep - t h / 96 05 03 8 v 1 7 M ay 1 99 6 DAMTP 96 - 45 φ 4 Kinks - Gradient Flow and Dynamics

The symmetric dynamics of two kinks and one antikink in classical (1+1)dimensional φ theory is investigated. Gradient flow is used to construct a collective coordinate model of the system. The relationship between the discrete vibrational mode of a single kink, and the process of kink-antikink pair production is explored. ∗ e-mail address: [email protected] † e-mail address: M.Houari@d...

/ 98 05 03 6 v 1 5 M ay 1 99 8 Theoretical aspects of roAp stars

1 0 M ay 1 99 9 QUANTUM n - SPACE AS A QUOTIENT OF CLASSICAL n - SPACE

The prime and primitive spectra of Oq(kn), the multiparameter quantized coordinate ring of affine n-space over an algebraically closed field k, are shown to be topological quotients of the corresponding classical spectra, specO(k) and maxO(k) ≈ k, provided the multiplicative group generated by the entries of q avoids −1.