Applications of the Hopf Trace Formula to Computing Homology Representations

  title={Applications of the Hopf Trace Formula to Computing Homology Representations},
  author={Sheila Sundaram},
The primary aim of this paper is to illustrate the use of a well-known technique of algebraic topology, the Hopf trace formula, as a tool in computing homology representations of posets. Inspired by a recent paper of Bjj orner and Lovv asz ((BL]), we apply this tool to derive information about the homology representation of the symmetric group S n on a class of subposets of the partition lattice n : The majority of these subposets are not Cohen-Macaulay. Techniques for such computations have… CONTINUE READING
Highly Cited
This paper has 19 citations. REVIEW CITATIONS


Publications referenced by this paper.
Showing 1-3 of 3 references

Wachs, A basis for the homology of the d-divisible

  • M. L. Wa
  • 1992

The cohomology ring of the colored braid group, Math

  • V. I. Arnold
  • 1969

Similar Papers

Loading similar papers…