evolving-sheaf (Rust port)

Spectral Gap Dynamics in Evolving Cellular Sheaves.

Studies how the Hodge Laplacian's spectral gap (λ₁) changes when restriction maps become flow-dependent. Static sheaves preserve the gap; dynamic ones reveal phase transitions.

Model

The sheaf Hodge Laplacian is L = D†D where D is the coboundary operator whose entries depend on restriction maps. Restriction maps may be static (theorem holds) or dynamic (gap decreases — research!).