The ℤ₂-cohomology cup-length of real flag manifolds

• Autorzy: Július Korbaš , Juraj Lörinc
• Języki publikacji: EN

Abstrakty

EN

Using fiberings, we determine the cup-length and the Lyusternik-Shnirel'man category for some infinite families of real flag manifolds $O(n₁+...+n_q)/ O(n₁) × ... × O(n_q)$, q ≥ 3. We also give, or describe ways to obtain, interesting estimates for the cup-length of any $O(n₁+...+n_q)/O(n₁) × ... × O(n_q)$, 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.

Kategorie tematyczne

• 57T15: Homology and cohomology of homogeneous spaces of Lie groups
• 57R20: Characteristic classes and numbers
• 55R05: Fiber spaces
• 57R19: Algebraic topology on manifolds
• 55M30: Ljusternik-Schnirelman (Lyusternik-Shnirel\cprime man) category of a space

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 178
• Numer: 2
• Strony: 143-158

Daty

wydano

2003

Twórcy

autor

Július Korbaš

• Katedra algebry a teórie čísel, Fakulta matematiky, fyziky a informatiky, Univerzita Komenského, Mlynská dolina, SK-842 48 Bratislava 4, Slovakia

autor

Juraj Lörinc

• Národná banka Slovenska, I. Karvaša 1, SK-813 25 Bratislava 1, Slovakia

Identyfikatory

DOI

10.4064/fm178-2-4