%0 Journal Article
%T Geometry and analysis of spin equations
%A Huijun Fan
%A Tyler J. Jarvis
%A Yongbin Ruan
%J Mathematics
%D 2004
%I arXiv
%X We introduce W-spin structures on a Riemann surface and give a precise definition to the corresponding W-spin equations for any quasi-homogeneous polynomial W. Then, we construct examples of nonzero solutions of spin equations in the presence of Ramond marked points. The main result of the paper is a compactness theorem for the moduli space of the solutions of W-spin equations when W is a non-degenerate, quasi-homogeneous polynomial whose variables all have weight (or fractional degree) wt(x_i) < 1/2. In particular, the compactness theorem holds for the A,D, and E superpotentials.
%U http://arxiv.org/abs/math/0409434v2