A Cheeger-Buser-Type inequality on CW complexes
Gr\'egoire Schneeberger
TL;DR
This paper extends boundary expansion concepts to CW complexes and establishes a Cheeger-Buser-type inequality linking spectral gaps of Laplacians to boundary expansion in these complexes.
Contribution
It introduces a new boundary expansion definition for CW complexes and proves a Cheeger-Buser-type inequality relating spectral and combinatorial properties.
Findings
Boundary expansion defined for CW complexes
Proved Cheeger-Buser-type inequality in this setting
Established relationship between spectral gap and boundary expansion
Abstract
We extend the definition of boundary expansion to CW complexes and prove a Cheeger-Buser-type relation between the spectral gap of the Laplacian and the boundary expansion of an orientable CW complex.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Operator Algebra Research · Topological and Geometric Data Analysis