Cohomology of colorings of cycles

Details Cohomology of colorings of cycles Cohomology of colorings of cycles

2005-07-06

arxiv.org/abs/math/0507117v4

Mathematics

Algebraic Topology

25 pages, references updated

Scientific paper

We compute the cohomology groups of the spaces of colorings of cycles, i.e., of the prodsimplicial complexes Hom(C_m,K_n). We perform the computation first with Z_2, and then with integer coefficients. The main technical tool is to use spectral sequences in conjunction with a detailed combinatorial analysis of a family of cubical complexes, which we call torus front complexes. As an application of our method, we demonstrate how to collapse each connected component of Hom(C_m,C_n) onto a garland of cubes.

Affiliated with

Also associated with

No associations

Rating

Cohomology of colorings of cycles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cohomology of colorings of cycles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cohomology of colorings of cycles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-611717