Bounds for the characteristic rank and cup-length of oriented Grassmann manifolds
Archivum Mathematicum (2018)
- Volume: 054, Issue: 5, page 313-329
- ISSN: 0044-8753
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topRusin, Tomáš. "Bounds for the characteristic rank and cup-length of oriented Grassmann manifolds." Archivum Mathematicum 054.5 (2018): 313-329. <http://eudml.org/doc/294652>.
@article{Rusin2018,
abstract = {We estimate the characteristic rank of the canonical $k$–plane bundle over the oriented Grassmann manifold $\widetilde\{G\}_\{n,k\}$. We then use it to compute uniform upper bounds for the $\mathbb \{Z\}_2$–cup-length of $\widetilde\{G\}_\{n,k\}$ for $n$ belonging to certain intervals.},
author = {Rusin, Tomáš},
journal = {Archivum Mathematicum},
keywords = {cup-length; Grassmann manifold; characteristic rank; Stiefel-Whitney class},
language = {eng},
number = {5},
pages = {313-329},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Bounds for the characteristic rank and cup-length of oriented Grassmann manifolds},
url = {http://eudml.org/doc/294652},
volume = {054},
year = {2018},
}
TY - JOUR
AU - Rusin, Tomáš
TI - Bounds for the characteristic rank and cup-length of oriented Grassmann manifolds
JO - Archivum Mathematicum
PY - 2018
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 054
IS - 5
SP - 313
EP - 329
AB - We estimate the characteristic rank of the canonical $k$–plane bundle over the oriented Grassmann manifold $\widetilde{G}_{n,k}$. We then use it to compute uniform upper bounds for the $\mathbb {Z}_2$–cup-length of $\widetilde{G}_{n,k}$ for $n$ belonging to certain intervals.
LA - eng
KW - cup-length; Grassmann manifold; characteristic rank; Stiefel-Whitney class
UR - http://eudml.org/doc/294652
ER -
References
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