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On the topological complexity of Grassmann manifolds

In: Mathematica Slovaca, vol. 70, no. 5
Vimala Ramani
Detaily:
Rok, strany: 2020, 1197 - 1210
Kľúčové slová:
Grassmann manifolds, topological complexity, cup-length, zero-divisor cup-length
O článku:
We prove that the topological complexity of a quaternionic flag manifold is half of its real dimension. For the real oriented Grassmann manifolds $\widetilde{G}n,k$, $3≤ k ≤ [n/2]$, the zero-divisor cup-length of the rational cohomology of $\widetilde{G}n,k$ is computed in terms of $n$ and $k$ which gives a lower bound for the topological complexity of $\widetilde{G}n,k$, $TC(\widetilde{G}n,k)$. When $k=3$, it is observed in certain cases that better lower bounds for $TC(\widetilde{G}n,3)$ are obtained using $\mathbb{Z}2$-cohomology.
Ako citovať:
ISO 690:
Ramani, V. 2020. On the topological complexity of Grassmann manifolds. In Mathematica Slovaca, vol. 70, no.5, pp. 1197-1210. 0139-9918. DOI: https://doi.org/DOI: 10.1515/ms-2017-0425

APA:
Ramani, V. (2020). On the topological complexity of Grassmann manifolds. Mathematica Slovaca, 70(5), 1197-1210. 0139-9918. DOI: https://doi.org/DOI: 10.1515/ms-2017-0425
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 27. 9. 2020