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Title:
Differential topology of semimetals
Speaker:
Abstract:
I will discuss local and global invariants for topological semimetals using Dirac type hamiltonians in 3D and higher. Dually, a topological semimetal can be represented by Euler chains from which its surface Fermi arc connectivity can be deduced. These dual pictures, as well as the link to topological invariants of insulators, are organised using Mayer-Vietoris exact sequences. I will also discuss quadraticDirac-type Hamiltonians and introduce new classes of semimetals, leading to the prediction of torsion Fermi arcs.
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