Topological complexity is a central concept that bridges the abstract methodologies of algebraic topology with the practical challenges of robot motion planning. It provides a numerical invariant that ...

The oxygen reduction reaction (ORR) is a key process in fuel cells and metal-air batteries, technologies expected to play a central role in a low-carbon energy future. However, ORR proceeds slowly on ...

Topological insulators could form the basis for revolutionary electronic components. However, as they generally only function at very low temperatures, their practical application has been severely ...

On the left, the schematic illustration depicts the gluing rules of the Brillouin manifold, with a half-twist operation connecting the opposing faces. On the right, the BZ is divided into 64 blocks by ...

Topological physics is a major research topic in modern science. The discovery of topological phases of matter has revolutionized how researchers think about electronic, photonic, and acoustic ...