8 citations · 10 across the 3 of their papers we have counts for
4 papers · 1 filter
Index theory and noncommutative geometry of topological insulator
Dan Li
In this chapter, we report the recent progress in the understanding of the rich mathematical structures of topological insulators in the framework of index theory and noncommutativ…
Bott--Kitaev periodic table and index theory
Dan Li
We consider topological insulators and superconductors with discrete symmetries and clarify the relevant index theory behind the periodic table proposed by Kitaev. An effective Ham…
Noncommutative topological invariant
Ralph M. Kaufmann, Dan Li, Birgit Wehefritz-Kaufmann
We generalize the invariant of topological insulators using noncommutative differential geometry in two different ways. First, we model Majorana zero modes by KQ-cyc…
The Stiefel--Whitney theory of topological insulators
Ralph M. Kaufmann, Dan Li, Birgit Wehefritz-Kaufmann
We study the topological band theory of time reversal invariant topological insulators and interpret the topological invariant as an obstruction in terms of Stiefel-…