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Computing Invariants of Simplicial Manifolds

Michael Joswig
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Abstract

This is a survey of known algorithms in algebraic topology with a focus on finite simplicial complexes and, in particular, simplicial manifolds. Wherever possible an elementary approach is chosen. This way the text may also serve as a condensed but very basic introduction to the algebraic topology of simplicial manifolds. This text will appear as a chapter in the forthcoming book "Triangulated Manifolds with Few Vertices" by Frank H. Lutz.

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Michael Joswig. 2004-01-15. Computing Invariants of Simplicial Manifolds. https://arxiv.org/abs/math/0401176

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