| Title:
|
Bounds for the characteristic rank and cup-length of oriented Grassmann manifolds (English) |
| Author:
|
Rusin, Tomáš |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
54 |
| Issue:
|
5 |
| Year:
|
2018 |
| Pages:
|
313-329 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
cup-length |
| Keyword:
|
Grassmann manifold |
| Keyword:
|
characteristic rank |
| Keyword:
|
Stiefel-Whitney class |
| MSC:
|
55R25 |
| MSC:
|
57R20 |
| MSC:
|
57T15 |
| idZBL:
|
Zbl 06997358 |
| idMR:
|
MR3887357 |
| DOI:
|
10.5817/AM2018-5-313 |
| . |
| Date available:
|
2018-12-06T16:18:15Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147507 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| . |
