Vector bundles on loop spaces of spheres.
Vom Connor-Floyd Theorem zum Hattori-Stong Theorem.
Weakly additive cohomology.
In this paper the concept of weakly additive cohomology theory is introduced as a variant of the known concept of additive cohomology theory. It is shown that for a closed A in X the singular homology of the pair (X, X-A) (with some fixed cohomology group) regarded as a furcter of A is a weakly additive cohomology theory on any collectionwise normal space X. Furthermore, every compactly supported cohomology theory is weakly additive.The main result is a comparison theorem for two cohomology theories...
Weighted cohomology.
Weights in cohomology and the Eilenberg-Moore spectral sequence
We show that in the category of complex algebraic varieties, the Eilenberg–Moore spectral sequence can be endowed with a weight filtration. This implies that it degenerates if all spaces involved have pure cohomology. As application, we compute the rational cohomology of an algebraic -variety ( being a connected algebraic group) in terms of its equivariant cohomology provided that is pure. This is the case, for example, if is smooth and has only finitely many orbits. We work in the category...
When projective does not imply flat, and other homological anomalies.
Which 3-manifold groups are Kähler groups?
The question in the title, first raised by Goldman and Donaldson, was partially answered by Reznikov. We give a complete answer, as follows: if can be realized as both the fundamental group of a closed 3-manifold and of a compact Kähler manifold, then must be finite—and thus belongs to the well-known list of finite subgroups of , acting freely on .
Whitney-Cartan Product Formulae.
Zweischritthomologie eines Joinprojektes.
-periodic homotopy groups of the Dwyer-Wilkerson space.
Алгебраическая спектральная последовательность С.П. Новикова для спектра MSp
Алгебраическая теория многозначных формальных групп
Алгебраические уравнения с непрерывными коэффициентами и некоторые вопросы алгебраической теории кос
Бордизмы с действием группы и неподвижные точки
Вторая группа ограниченных когомологий
Вычисление кольца симплектических кобордизмов в размерностях до 32 и нетривиальность большинства тройных произведений элементов Н.Рея
Гипергомологии предела прямого спектра комплексов и группы гомологий топологических пространств
Гомологии и когомологии множеств и их окрестностей
Гомологии симметрического отношения
Группы Браудера-Ливси абелевых 2-групп