Morse Spectra, Homology Measures and Parametric Packing Problems

Abstract

We suggest several mathematical counterparts to the idea of "effective degrees of freedom" and formulate specific questions, much of which are inspired by Larry Guth's results and ideas on the Hermann Weyl kind of asymptotics of the Morse (co)homology spectra of the volume energy function on the spaces of cycles in balls.

References in corpus (3)

• Systolic inequalities and minimal hypersurfaces
• Minimax problems related to cup powers and Steenrod squares
• Symplectic embeddings of polydisks

Cited by in corpus (1)

• Certain min-max values related to the $p$-energy and packing radii of Riemannian manifolds and metric measure spaces