English

On the cohomology classes of planar polygon spaces

Algebraic Topology 2016-04-15 v1

Abstract

We obtain an explicit formula for the Poincare duality isomorphism H^{n-3}(Mbar(ell)) to Z/2 for the space of isometry classes of n-gons with specified side lengths, if ell is monogenic in the sense of Hausmann-Rodriguez. This has potential application to topological complexity.

Keywords

Cite

@article{arxiv.1604.04188,
  title  = {On the cohomology classes of planar polygon spaces},
  author = {Donald M. Davis},
  journal= {arXiv preprint arXiv:1604.04188},
  year   = {2016}
}

Comments

6 pages