The University of Michigan Combinatorics Seminar
Fall 2003
November 21, 4:10-5:00, 3866 East Hall

Stability of the homology of a filtered Boolean algebra

Scott Kravitz

University of Michigan


I will present a relative complex of the order complex of a Boolean algebra whose homology obeys an interesting stability property. This relative complex construction is similiar to, but not the same as, rank-selected homology. I will also describe a connection between this complex and semi-standard Young tableaux which will allow me to present a basis for the stable case homology.