Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 16, Number 1 (2016), 483-508.
Intersection homology of linkage spaces in odd-dimensional Euclidean space
We consider the moduli spaces of a closed linkage with links and prescribed lengths in –dimensional Euclidean space. For these spaces are no longer manifolds generically, but they have the structure of a pseudomanifold.
We use intersection homology to assign a ring to these spaces that can be used to distinguish the homeomorphism types of for a large class of length vectors. These rings behave rather differently depending on whether is even or odd, with the even case having been treated in an earlier paper. The main difference in the odd case comes from an extra generator in the ring, which can be thought of as an Euler class of a stratified bundle.
Algebr. Geom. Topol., Volume 16, Number 1 (2016), 483-508.
Received: 24 October 2014
Revised: 22 April 2015
Accepted: 7 May 2015
First available in Project Euclid: 16 November 2017
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Schütz, Dirk. Intersection homology of linkage spaces in odd-dimensional Euclidean space. Algebr. Geom. Topol. 16 (2016), no. 1, 483--508. doi:10.2140/agt.2016.16.483. https://projecteuclid.org/euclid.agt/1510841113