%0 Journal Article %T Seminatural bundles of rank two, degree one and $c_2=10$ on a quintic surface %A Nicole Mestrano %A Carlos T. Simpson %J Mathematics %D 2012 %I arXiv %R 10.1215/21562261-1966107 %X In this paper we continue our study of the moduli space of stable bundles of rank two and degree 1 on a very general quintic surface. The goal in this paper is to understand the irreducible components of the moduli space in the first case in the "good" range, which is $c_2=10$. We show that there is a single irreducible component of bundles which have seminatural cohomology, and conjecture that this is the only component for all stable bundles. %U http://arxiv.org/abs/1202.2546v1