We introduce ordered and unordered configuration spaces of 'clusters' of points in an Euclidean space Rd, where points in each cluster satisfy a 'verticality' condition, depending on a decomposition d=p+q. We compute the homology in the ordered case and prove homological stability in the unordered case.
Bianchi, A., Kranhold, F. (2022). Vertical Configuration Spaces and Their Homology. QUARTERLY JOURNAL OF MATHEMATICS, 73(4), 1279-1306 [10.1093/qmath/haab061].
Vertical Configuration Spaces and Their Homology
Bianchi, Andrea;
2022
Abstract
We introduce ordered and unordered configuration spaces of 'clusters' of points in an Euclidean space Rd, where points in each cluster satisfy a 'verticality' condition, depending on a decomposition d=p+q. We compute the homology in the ordered case and prove homological stability in the unordered case.File in questo prodotto:
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