. N A ] 1 4 M ay 1 99 9 Reliable Operations on Oscillatory Functions

ar X iv : h ep - t h / 99 05 22 4 v 1 3 1 M ay 1 99 9 Whitham Deformations and Tau Functions in N = 2 Supersymmetric Gauge Theories ∗

We review new aspects of integrable systems discovered recently in N = 2 supersymmetric gauge theories and their topologically twisted versions. The main topics are (i) an explicit construction of Whitham deformations of the Seiberg-Witten curves for classical gauge groups, (ii) its application to contact terms in the u-plane integral of topologically twisted theories, and (iii) a connection be...

ar X iv : m at h / 99 05 11 4 v 1 [ m at h . L O ] 1 9 M ay 1 99 9 REMARKS ON THE INTERSECTION OF FILTERS

We will show that that the existence of an uncountable family of nonmeager filter whose intersection is meager is consistent with MA(Suslin).

ar X iv : m at h / 99 05 11 8 v 1 [ m at h . L O ] 1 9 M ay 1 99 9 REMARKS ON SETS RELATED TO TRIGONOMETRIC SERIES

We show that several classes of sets, like N 0-sets, Arbault sets, N-sets and pseudo-Dirichlet sets are closed under adding sets of small size.

1 M ay 1 99 9 NONCLASSICAL REPRESENTATIONS OF THE NONSTANDARD DEFORMATIONS

ar X iv : n uc l - th / 9 90 50 50 v 1 2 1 M ay 1 99 9 GAMMA - DEUTERON SCATTERING

We discuss a recent computation of Compton scattering on the deuteron at photon energies of order the pion mass. An interaction kernel is computed in baryon chiral perturbation theory and sewn to phenomenological deuteron wave functions. As an appetizer, we consider a computation of the pion-deuteron scattering length using this method.