Proof of the magnetic gap-labelling conjecture for principal solenoidal tori

Autor:	Varghese Mathai, Moulay-Tahar Benameur
Přispěvatelé:	Institut Montpelliérain Alexander Grothendieck (IMAG), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Department of Mathematics, University of Adelaide
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Mathematics - Differential Geometry Pure mathematics [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA] FOS: Physical sciences 01 natural sciences [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT] 0103 physical sciences FOS: Mathematics 0101 mathematics Operator Algebras (math.OA) Mathematical Physics Mathematics Conjecture Solenoidal vector field 010102 general mathematics Principal (computer security) Mathematics - Operator Algebras Torus Mathematical Physics (math-ph) 58J50 19K14 46L55 52C23 81V70 Condensed Matter - Other Condensed Matter Differential Geometry (math.DG) Physics::Accelerator Physics 010307 mathematical physics Analysis Other Condensed Matter (cond-mat.other)
Popis:	In this note, we prove the magnetic spectral gap-labelling conjecture as stated in [arXiv:1508.01064], in all dimensions, for principal solenoidal tori. 8 pp. Minor revision. To appear in JFA
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e6a3739eeafec587b4aa78931c7d3f9 http://arxiv.org/abs/1806.06302 Zobrazit plný text záznamu