The ℤ₂-cohomology cup-length of real flag manifolds

Július Korbaš; Juraj Lörinc

Fundamenta Mathematicae, Tome 177 (2003), p. 143-158 / Harvested from The Polish Digital Mathematics Library

Résumé

Using fiberings, we determine the cup-length and the Lyusternik-Shnirel’man category for some infinite families of real flag manifolds $O (n ₁ + . . . + n_{q}) / O (n ₁) \times . . . \times O (n_{q})$ , q ≥ 3. We also give, or describe ways to obtain, interesting estimates for the cup-length of any $O (n ₁ + . . . + n_{q}) / O (n ₁) \times . . . \times O (n_{q})$ , q ≥ 3. To present another approach (combining well with the “method of fiberings”), we generalize to the real flag manifolds Stong’s approach used for calculations in the ℤ₂-cohomology algebra of the Grassmann manifolds.

Publié le : 2003-01-01

Zbl 1052.55006

EUDML-ID : urn:eudml:doc:283181

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     author = {J\'ulius Korba\v s and Juraj L\"orinc},
     title = {The Z2-cohomology cup-length of real flag manifolds},
     journal = {Fundamenta Mathematicae},
     volume = {177},
     year = {2003},
     pages = {143-158},
     zbl = {1052.55006},
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Július Korbaš; Juraj Lörinc. The ℤ₂-cohomology cup-length of real flag manifolds. Fundamenta Mathematicae, Tome 177 (2003) pp. 143-158. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm178-2-4/