The ℤ₂-cohomology cup-length of real flag manifolds

Július Korbaš, and Juraj Lörinc. "The ℤ₂-cohomology cup-length of real flag manifolds." Fundamenta Mathematicae 178.2 (2003): 143-158. <http://eudml.org/doc/283181>.

@article{JúliusKorbaš2003,
abstract = {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.},
author = {Július Korbaš, Juraj Lörinc},
journal = {Fundamenta Mathematicae},
keywords = {flag manifold; cup-length; LS-category},
language = {eng},
number = {2},
pages = {143-158},
title = {The ℤ₂-cohomology cup-length of real flag manifolds},
url = {http://eudml.org/doc/283181},
volume = {178},
year = {2003},
}

TY - JOUR
AU - Július Korbaš
AU - Juraj Lörinc
TI - The ℤ₂-cohomology cup-length of real flag manifolds
JO - Fundamenta Mathematicae
PY - 2003
VL - 178
IS - 2
SP - 143
EP - 158
AB - 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.
LA - eng
KW - flag manifold; cup-length; LS-category
UR - http://eudml.org/doc/283181
ER -