Minimal Resolutions Via Algebraic Discrete Morse Theory

By M. Joellenbeck, Volkmar Welker. 2009

107 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/08a28007c2ee3852f0f1befc23d4d7646a2e15ae

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Mauricio Velasco
2. Bruno Benedetti
3. Ulrich Bauer

In Geometry and Topology

1. Mauricio Velasco
2. Bruno Benedetti
3. Ulrich Bauer

In Mathematical Physics

1. Mauricio Velasco
2. Bruno Benedetti
3. Ulrich Bauer

Citations in the corpus

• Minimal free resolutions that are not supported by a CW-complex (2008, background): “I would especially like to thank Irena Peeva for suggesting the question in [6] as an interesting topic and Allen Hatcher, who was very generous with his time.”
• Discrete Morse Theory for Manifolds with Boundary (2010, background): “Discrete Morse theory opens doors to computational geometry [24, 39, 41, 44] and to commutative algebra [3, 40, 68].”
• Ripser: efficient computation of Vietoris–Rips persistence barcodes (2019, background): “The notion of apparent pairs generalize to the setting of algebraic Morse theory [23, 26, 45] in a straightforward way [28].”