Geodesic
Poset topology and homological invariants of algebras arising in algebraic combinatorics
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) (2014).

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We present a beautiful interplay between combinatorial topology and homological algebra for a class of monoids that arise naturally in algebraic combinatorics. We explore several applications of this interplay. For instance, we provide a new interpretation of the Leray number of a clique complex in terms of non-commutative algebra. 
@article{DMTCS_2014_special_265_a6,
     author = {Margolis, Stuart and Saliola, Franco and Steinberg, Benjamin},
     title = {Poset topology and homological invariants of algebras arising in algebraic combinatorics},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)},
     year = {2014},
     doi = {10.46298/dmtcs.2381},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2381/}
}
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%D 2014
%V DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)
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Margolis, Stuart; Saliola, Franco; Steinberg, Benjamin. Poset topology and homological invariants of algebras arising in algebraic combinatorics. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) (2014). doi : 10.46298/dmtcs.2381. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2381/

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