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- W4381247984 abstract "Consider the configuration spaces of manifolds. An influential theorem of McDuff, Segal and Church shows that the (co)homology of the unordered configuration space is independent of number of points in a range of degree called the stable range. We study the another important (and general) property of unordered configuration spaces of manifolds (not necessarily orientable, and not necessarily admitting non-vanishing vector field) that is homological monotonicity in unstable part. We show that the homological dimension of unordered configuration spaces of manifolds in each degree is monotonically increasing. Our results show that the monotonicity property is not depend on the differential structure and orientiability of manifold." @default.
- W4381247984 created "2023-06-20" @default.
- W4381247984 creator A5070472333 @default.
- W4381247984 date "2023-06-16" @default.
- W4381247984 modified "2023-09-23" @default.
- W4381247984 title "Homological monotonicity for configuration spaces of manifolds" @default.
- W4381247984 doi "https://doi.org/10.48550/arxiv.2306.09658" @default.
- W4381247984 hasPublicationYear "2023" @default.
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