Morse theory for discrete magnetic operators and nodal count distribution for graphs

DOI10.4171/jst/468arXiv2212.00830OpenAlexW4388978715MaRDI QIDQ6203838

Mark Goresky, Lior Alon

Publication date: 8 April 2024

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.00830

zbMATH Keywords

Morse theoryspectral graph theorynodal countmagnetic operators

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Schrödinger operator, Schrödinger equation (35J10) Signed and weighted graphs (05C22) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

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