English

Smooth structures on Eschenburg spaces: numerical computations

Differential Geometry 2009-09-22 v1 Geometric Topology

Abstract

This paper numerically computes the topological and smooth invariants of Eschenburg spaces with small fourth cohomology group, following Kruggel's determination of the Kreck-Stolz invariants of Eschenburg spaces that satisfy condition C. The GNU GMP arbitrary-precision library is utilised.

Keywords

Cite

@article{arxiv.0909.3582,
  title  = {Smooth structures on Eschenburg spaces: numerical computations},
  author = {Leo T. Butler},
  journal= {arXiv preprint arXiv:0909.3582},
  year   = {2009}
}

Comments

7 tables, 2 figures, C++ source code is available at http://www.maths.ed.ac.uk/~lbutler/kspace/, v2 has equation keys removed

R2 v1 2026-06-21T13:48:17.037Z