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nlin.PS2020
Solitons in Weakly Non-linear Topological Systems: Linearization, Equivariant Cohomology and K-theory
Daniel Sheinbaum
There is a lack of knowledge about the topological invariants of non-linear -dimensional systems with a periodic potential. We study these systems through a classification of th…
math-ph2020
Crystallographic Interacting Topological Phases and Equivariant Cohomology: To assume or not to assume
Daniel Sheinbaum, Omar Antolín Camarena
For symmorphic crystalline interacting gapped systems we derive a classification under adiabatic evolution. This classification is complete for non-degenerate ground states. For th…