In the last years there have been great advances in the applications of topology and differential geometry to problems in condensed matter physics. Concepts dra

Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homol

Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of

This book introduces aspects of topology and applications to problems in condensed matter physics. Basic topics in mathematics have been introduced in a form ac

"Differential geometry has encountered numerous applications in physics. More and more physical concepts can be understood as a direct consequence of geometric