Cuts and flows of cell complexes

@article{Duval2012CutsAF,
  title={Cuts and flows of cell complexes},
  author={Art M. Duval and Caroline J. Klivans and Jeremy L. Martin},
  journal={Journal of Algebraic Combinatorics},
  year={2012},
  volume={41},
  pages={969-999}
}
We study the vector spaces and integer lattices of cuts and flows associated with an arbitrary finite CW complex, and their relationships to group invariants including the critical group of a complex. Our results extend to higher dimension the theory of cuts and flows in graphs, most notably the work of Bacher, de la Harpe, and Nagnibeda. We construct explicit bases for the cut and flow spaces, interpret their coefficients topologically, and give sufficient conditions for them to be integral… 
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32 Citations
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32 Citations

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