Eschenburg calculator

This is a pre-release of the code that accompanies the first arxived version of our paper Open manifolds with non-homeomorphic positively curved souls. The following classifications of positively curved Eschenburg spaces are implemented: – classification up to homotopy equivalence – classification up to tangential homotopy equivalence – classification up to homeomorphism The implementation relies on the classification results of Kruggel using Kreck-Stolz invariants.

{"references": ["David Gonz\u00e1lez-\u00c1lvaro, Marcus Zibrowius: Open manifolds with non-homeomorphic positively curved souls (arXiv:1802.07836)"]}

Precompiled binaries are available from the release page on GitHub.

Related Organizations

Heinrich Heine University Düsseldorf
Germany
University of Fribourg
Switzerland

Keywords

differential geometry, Eschenburg spaces, positive curvature

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