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arXiv · 1312.6454

Discrete Morse theory for computing cellular sheaf cohomology

Justin Curry·Robert Ghrist·Vidit Nanda
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Abstract

Sheaves and sheaf cohomology are powerful tools in computational topology, greatly generalizing persistent homology. We develop an algorithm for simplifying the computation of cellular sheaf cohomology via (discrete) Morse-theoretic techniques. As a consequence, we derive efficient techniques for distributed computation of (ordinary) cohomology of a cell complex.

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Justin Curry, Robert Ghrist, Vidit Nanda. 2013-12-23. Discrete Morse theory for computing cellular sheaf cohomology. https://arxiv.org/abs/1312.6454

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