Geometry and topology have been a fascination in physics since the start of the 20th century. A leading example is Einstein's geometrical theory of gravity. At

This important graduate level text unites the physical mechanisms behind the phenomena of topological matter within a theoretical framework.

Quantum phase transitions (QPTs) offer wonderful examples of the radical macroscopic effects inherent in quantum physics: phase changes between different forms

Topological defects formed at symmetry-breaking phase transitions play an important role in many different fields of physics. They appear in many condensed-matt

This book reports new results in condensed matter physics for which topological methods and ideas are important. It considers, on the one hand, recently discove