books.google.com - This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. While infinite-dimensional groups often exhibit very peculiar features, this book describes unifying...http://books.google.com/books/about/The_Geometry_of_Infinite_Dimensional_Gro.html?id=xZvLBvqN8fsC&q=torus&utm_source=gb-gplus-shareThe Geometry of Infinite-Dimensional Groups