Mathematical Physics

1. Complex Geometry of Nature and General Relativity  (site info) A paper by Giampiero Esposito attempting to give a self-contained introduction to holomorphic ideas in general relativity. The main topics are complex manifolds, spinor and twistor methods, heaven spaces. http://arxiv.org/abs/gr-qc/9911051 2. Topology and Physics  (site info) An essay by C. Nash on the historical connection between topology and physics. http://arxiv.org/abs/hep-th/9709135 3. Lectures on Orientifolds and Duality  (site info) Notes by Atish Dabholkar on orientifolds emphasizing applications to duality. http://arxiv.org/abs/hep-th/9804208 4. Recent Developments in Skyrme Models  (site info) An introduction by T. Gisiger and M.B. Paranjape to recent, more mathematical developments in the Skyrme model. The aim is to render these advances accessible to mainstream nuclear and particle physicists. http://arxiv.org/abs/hep-th/9812148 5. Homological Methods in Mathematical Physics  (site info) These lecture notes by Joseph Krasil'shchik and Alexander Verbovetsky are a systematic and self-contained exposition of the cohomological theories naturally related to partial differential equations. http://arxiv.org/abs/math.DG/9808130 1-5 of 36. Next »