The amorphous state of matter is the most abundant form of visible matter in the universe, and includes all structurally ...

A Lie group is then denned as a locally connected topological group related in a certain way to some analytic group; from this it follows that the concept of Lie algebra can be used freely when ...

In this book, developed from courses taught at the University of London, the author aims to show the value of using topological methods in combinatorial group theory. The topological material is given ...

Our research group fabricates and studies colloidal particles with different numbers of handles and genus g. When introduced into a nematic liquid crystal, these particles induce three-dimensional ...