# Rational homology of configuration spaces of the Moebius strip and projective plane

## 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.

## Key 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

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Source: https://tomesphere.com/paper/1703.04356