ABSTRACT
Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
Topology, as a branch of mathematics, investigates properties that are invariant under a continuous transformation. Methods and theorems of topology, especially the homotopy theory, have been used in many fields. Topological soliton is an application of topology in condensed matter physics. In this chapter, we discuss the static and dynamical properties of different types of topological solitons based on topology.
