Proof of the magnetic gap-labelling conjecture for principal solenoidal tori
Moulay Tahar Benameur (Montpellier), Varghese Mathai (Adelaide)
TL;DR
This paper proves the magnetic spectral gap-labelling conjecture for principal solenoidal tori across all dimensions, advancing understanding in mathematical physics and spectral theory.
Contribution
It provides a complete proof of the conjecture for principal solenoidal tori, extending previous partial results and confirming the conjecture's validity in all dimensions.
Findings
Confirmed the magnetic gap-labelling conjecture for all dimensions
Extended the validity of the conjecture to principal solenoidal tori
Strengthened the theoretical foundation of spectral gap analysis
Abstract
In this note, we prove the magnetic spectral gap-labelling conjecture as stated in [arXiv:1508.01064], in all dimensions, for principal solenoidal tori.
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