Rational homology of configuration spaces of the Moebius strip and projective plane
Victor A. Vassiliev
TL;DR
This paper computes all rational homology groups of unordered configuration spaces for the Moebius strip and the projective plane, providing comprehensive topological insights into these non-orientable surfaces.
Contribution
It offers the first complete calculation of rational homology for these configuration spaces, filling a gap in the topological understanding of non-orientable surfaces.
Findings
Rational homology groups of configuration spaces for the Moebius strip are fully determined.
Rational homology groups of configuration spaces for the projective plane are fully determined.
The results enhance understanding of the topology of non-orientable surfaces.
Abstract
All rational homology groups of unordered configuration spaces of the Moebius strip and the projective plane are calculated
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Numerical Analysis Techniques · Topological and Geometric Data Analysis