The equivariant Lefschetz fixed point theorem for proper cocompact G-manifolds [PDF]
High-Dimensional Manifold Topology, 2003 Suppose one is given a discrete group G, a cocompact proper Gmanifold M, and a G-self-map f : M ! M. Then we introduce the equivariant Lefschetz class of f, which is globally deflned in terms of cellular chain complexes, and the local equivariant Lefschetz class of f, which is locally deflned in terms of flxed point data.
Wolfgang Lück, Jonathan Rosenberg
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Lefschetz fixed point theorems for a new class of multi-valued maps [PDF]
Pacific Journal of Mathematics, 1972 Michael R. Powers
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Once More on the Lefschetz Fixed Point Theorem [PDF]
Bulletin of the Polish Academy of Sciences Mathematics, 2007 Lech Górniewicz, Mirosław Ślosarski
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Generalized Lefschetz fixed point theorems in extension type spaces
Journal of Nonlinear Sciences and Applications, 2015 Donal O’Regan
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The Lefschetz fixed point theorem for some noncompact multi-valued maps [PDF]
Fundamenta Mathematicae, 1977 Gilles Fournier, Lech Górniewicz
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The Lefschetz fixed point theorem for multivalued maps of non-metrizable spaces [PDF]
Fundamenta Mathematicae, 1976 Gilles Fournier, Lech Górniewicz
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The Atiyah-Singer theorems: A probabilistic approach. II. The Lefschetz fixed point formulas
Journal of Functional Analysis, 1984 In the first part of the article [ibid. 57, 56-99 (1984; Zbl 0538.58033)] the author gave a probabilistic proof of the Atiyah-Singer index theorem for classical elliptic complex and in this second part the Atiyah-Bott- Lefschetz fixed point formulas for elliptic spin-complexes are proved by using some probabilistic methods.
Jean‐Michel Bismut
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Recent advances in the Lefschetz fixed point theory for multivalued mappings
Results in Nonlinear Analysis, 2021 In 1923 S. Lefschetz proved the famous fixed point theorem known as the Lefschetz fixed point theorem (comp. [5], [9], [20], [21]. The multivalued case was considered for the first time in 1946 by S. Eilenberg and D. Montgomery ([10]).
Lech Górniewicz
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A reduction of the Nielsen fixed point theorem for symmetric product maps to the Lefschetz theorem [PDF]
Fundamenta Mathematicae, 1990 Dariusz Miklaszewski
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Periodic solutions of dissipative systems revisited
Fixed Point Theory and Applications, 2006 We reprove in an extremely simple way the classical theorem that time periodic dissipative systems imply the existence of harmonic periodic solutions, in the case of uniqueness.
Lech Górniewicz, Jan Andres
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