Morse Spectra, Homology Measures and Parametric Packing Problems
Metric Geometry
2017-10-11 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1710.03616,
title = {Morse Spectra, Homology Measures and Parametric Packing Problems},
author = {Misha Gromov},
journal= {arXiv preprint arXiv:1710.03616},
year = {2017}
}