112 search results - page 1 / 23 » On the Homological Dimension of Lattices |
ORDER
2008
13 years 9 months ago
2008
COMBINATORICS
2006
13 years 9 months ago
2006
We prove analogues for sub-posets of the Dowling lattices of the results of Calderbank, Hanlon, and Robinson on homology of sub-posets of the partition lattices. The technical too...
COMBINATORICS
2004
13 years 9 months ago
2004
Abstract. We use the theory of hyperplane arrangements to construct natural bases for the homology of partition lattices of types A, B and D. This extends and explains the "sp...
COMPGEOM
2004
ACM
14 years 2 months ago
2004
ACM
We show that the persistent homology of a filtered ddimensional simplicial complex is simply the standard homology of a particular graded module over a polynomial ring. Our analy...
CRYPTO
2010
Springer
13 years 10 months ago
2010
Springer
We present a technique for delegating a short lattice basis that has the advantage of keeping the lattice dimension unchanged upon delegation. Building on this result, we construct...