%0 Journal Article
%T Symplectic homology of disc cotangent bundles of domains in Euclidean space
%A Kei Irie
%J Mathematics
%D 2012
%I arXiv
%X Let $V$ be a bounded domain with smooth boundary in $\R^n$, and $D^*V$ denote its disc cotangent bundle. We compute symplectic homology of $D^*V$, in terms of relative homology of loop spaces on the closure of $V$. We use this result to show that Floer-Hofer capacity of $D^*V$ is between $2r(V)$ and $2(n+1)r(V)$, where $r(V)$ denotes inradius of $V$. As an application, we study periodic billiard trajectories on $V$.
%U http://arxiv.org/abs/1211.2184v3