Poset topology and homological invariants of algebras arising in algebraic combinatorics

Stuart Margolis, Franco Saliola, Benjamin Steinberg
2014 Discrete Mathematics & Theoretical Computer Science  
International audience 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.
doi:10.46298/dmtcs.2381 fatcat:zm3kb2pqnfhbdp4od4oish5v6i