Preprint
Oct 2026
Signed dual graphs and face spectral gaps of Cayley 2-complexes
We construct a weighted signed dual multigraph for the Cayley $2$-complex of a finite presentation and represent its $\ell^2$ face Laplacian as a signed graph Laplacian with a diagonal potential. We prove that the face spectral gap above the kernel vanishes for the Baumslag--Solitar groups $\operatorname{BS}(1,m)$, $m\...
Bo-Bo Hua, Yong Lin, Tao Wang et al.
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