id author title date pages extension mime words sentence flesch summary cache txt mc87pn91p4k Ryan E Grady On Geometric Aspects of Topological Quantum Mechanics 2012 .txt text/plain 114 4 41 Koszul duality and derived geometry allow us to encode topological quantum mechanics, a nonlinear sigma model of maps from a 1-manifold into a cotangent bundle as such a Chern-Simons theory. We construct a Chern-Simons gauge theory for dg Lie and L-infinity algebras on any one-dimensional manifold and quantize this theory using the Batalin-Vilkovisky formalism and Costello's renormalization techniques. cache/mc87pn91p4k.txt txt/mc87pn91p4k.txt