English

Approximating Novikov-Shubin numbers of virtually cyclic coverings

Algebraic Topology 2017-01-27 v2 Spectral Theory

Abstract

We assign real numbers to finite sheeted coverings of compact CW complexes designed as finite counterparts to the Novikov-Shubin numbers. We prove an approximation theorem in the case of virtually cyclic fundamental groups employing methods from Diophantine approximation.

Keywords

Cite

@article{arxiv.1509.01142,
  title  = {Approximating Novikov-Shubin numbers of virtually cyclic coverings},
  author = {Holger Kammeyer},
  journal= {arXiv preprint arXiv:1509.01142},
  year   = {2017}
}

Comments

Final version to appear in Groups Geom. Dyn., 17 pages