User's guide to equivariant methods in combinatorics. II.
Vanishing theorems for compact hessian manifolds
A manifold is said to be Hessian if it admits a flat affine connection and a Riemannian metric such that where is a local function. We study cohomology for Hessian manifolds, and prove a duality theorem and vanishing theorems.
Various approaches to the fundamental groups
Weak Wecken's theorem for periodic points in dimension 3
We prove that a self-map f: M → M of a compact PL-manifold of dimension ≥ 3 is homotopic to a map with no periodic points of period n iff the Nielsen numbers for k dividing n all vanish. This generalizes the result from [Je] to dimension 3.
Wecken theorems for Nielsen intersection theory
Nielsen theory, originally developed as a homotopy-theoretic approach to fixed point theory, has been translated and extended to various other problems, such as the study of periodic points, coincidence points and roots. Recently, the techniques of Nielsen theory have been applied to the study of intersections of maps. A Nielsen-type number, the Nielsen intersection number NI(f,g), was introduced, and shown to have many of the properties analogous to those of the Nielsen fixed point number. In particular,...
Wecken type problems for self-maps of the Klein bottle.
When projective does not imply flat, and other homological anomalies.
Winding Numbers on Surfaces, I.
-cohomology manifold with no -resolution
Zerlegungssätze für abgeschwächt injektive Abbildungen.
Zum geometrischen Sinn einer negativen Selbstschnittzahl
Бордизмы с действием группы и неподвижные точки
Вложение компактов в евклидово пространство размерности 5,4, и 3
Вписанные шары и категория Люстерника-Шнирельмана.
Гомологии симметрического отношения
Гомотопический аналог теоремы Хелли и существование квазинеподвижных точек.
Две теоремы из теории переодических преобразований
Дополнительные структуры в теории Смита
Задача Кнастера о непрерывных отображениях сферы в евклидово пространство
К задаче вычисления степени эквивариантного отображения.