%0 Journal Article %T Basic Riemannian Geometry and Sobolev Estimates used in Symplectic Topology %A Aleksey Zinger %J Mathematics %D 2010 %I arXiv %X This note collects a number of standard statements in Riemannian geometry and in Sobolev-space theory that play a prominent role in analytic approaches to symplectic topology. These include relations between connections and complex structures, estimates on exponential-like maps, and dependence of constants in Sobolev and elliptic estimates. %U http://arxiv.org/abs/1012.3980v1