Corpus ID: 73525843

On normalizing discrete Morse functions

@article{Capitelli2018OnND,
  title={On normalizing discrete Morse functions},
  author={N. Capitelli},
  journal={arXiv: Combinatorics},
  year={2018}
}
  • N. Capitelli
  • Published 30 March 2018
  • Mathematics
  • arXiv: Combinatorics
We present a way to normalize a combinatorial Morse function into an integer-valued canonical representative of the set of discrete Morse functions inducing a given gradient field. 
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We get a characterization theorem for equivalent discrete Morse functions defined on simplicial complexes in terms of their gradient vector field. As a consequence, we also characterize them in theExpand
On discrete Morse functions and combinatorial decompositions
TLDR
An application of Forman's theory gives generalizations of known results about the homotopy properties of shellable complexes and an application to a set of complexes related to matroids is discussed. Expand
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In this paper we will present a very simple discrete Morse theory for CW complexes. In addition to proving analogues of the main theorems of Morse theory, we also present discrete analogues of suchExpand