Current browse context:
math-ph
Change to browse by:
References & Citations
Mathematical Physics
Title: Local topology for periodic Hamiltonians and fuzzy tori
(Submitted on 27 Mar 2024)
Abstract: A variety of local index formulas is constructed for quantum Hamiltonians with periodic boundary conditions. All dimensions of physical space as well as many symmetry constraints are covered, notably one-dimensional systems in Class DIII as well as two- and three-dimensional systems in Class AII. The constructions are based on several periodic variations of the spectral localizer and are rooted in the existence of underlying fuzzy tori. For these latter, a general invariant theory is developed.
Submission history
From: Hermann Schulz-Baldes [view email][v1] Wed, 27 Mar 2024 18:21:41 GMT (97kb,D)
Link back to: arXiv, form interface, contact.