Differential Geometry for Physicists
Bo-Yu Hou, Bo-Yuan Hou · WORLD SCIENTIFIC eBooks · 1997
Differentiable manifold and differential forms transformation of manifold, Lie group manifold affine connection and covariant differentiation Riemannian manifold symplectic manifold and contact manifold complex manifolds homology of manifolds homotopy of manifold, fibre bundle, classification of fibre bundles differential geometry of fibre bundle, Yang-Mills gauge theory characteristic class Atiyah-Singer index theorem index theorem on manifold with boundary and on open infinite manifold family index theorem, topological properties of quantum gauge theory noncommutative geometry, quantum group and q-deformation of Chern-characters.