A long exact sequence in cohomology for deleted and restricted subspaces arrangements

Details A long exact sequence in cohomology for deleted and restricted subspaces arrangements A long exact sequence in cohomology for deleted and restricted subspaces arrangements

2007-09-04

arxiv.org/abs/0709.0373v1

Mathematics

Algebraic Topology

11 pages

Scientific paper

The notions of deleted and restricted arrangements have been useful in the study of arrangements of hyperplanes. If A is an arrangement of hyperplanes, x in A and A', A'' the deleted and restricted arrangements, there is a formula connecting the Poincare polynomials of the complement spaces M(A), M(A') and M(A''). In this paper, we consider the extension of this formula to arbitrary subspaces arrangements. The main result is the existence of a long exact sequence connecting the rational cohomology of M(A), M(A') and M(A''). Using this sequence, we obtain new results connecting the Betti numbers and Poincare polynomials of deleted and restricted arrangements.

Affiliated with

Also associated with

No associations

Rating

A long exact sequence in cohomology for deleted and restricted subspaces arrangements 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 A long exact sequence in cohomology for deleted and restricted subspaces arrangements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A long exact sequence in cohomology for deleted and restricted subspaces arrangements will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-414339