Ecce Homology

It was proven by González-Meneses, Manchón and Silvero that the extreme Khovanov homology of a link diagram is isomorphic to the reduced (co)homology of the independence simplicial complex obtained from a bipartite circle graph constructed from the ...

In this article the homology of simploidal sets is studied Simploidal sets generalize both simplicial complexes and cubical complexes, more precisely cells of simplicial sets are cartesian products of simplices We define one homology for simploidal sets ...

We characterize homology manifolds with g 2 2 . Specifically, using retriangulations of simplicial complexes, we give a short proof of Nevo and Novinsky's result on the characterization of homology ( d 1 ) -spheres with g 2 = 1 for d 5 and extend it to ...