paper

Smooth structures on Eschenburg spaces: numerical computations

arXiv:0909.3582

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.

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