Results 21 to 30 of about 55,344 (171)

Lefschetz fixed point theorems for Fourier-Mukai functors and DG algebras [PDF]

Journal of Algebra, 2011
We propose some variants of Lefschetz fixed point theorem for Fourier-Mukai functors on a smooth projective algebraic variety. Independently we also suggest a similar theorem for endo-functors on the category of perfect modules over a smooth and proper DG algebra.
Valery A. Lunts
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Lefschetz Fixed Point Theorem and Lattice Points in Convex Polytopes [PDF]

, 1993
A simple convex lattice polytope $\Box$ defines a torus-equivariant line bundle $\LB$ over a toric variety $\XB.$ Atiyah and Bott's Lefschetz fixed-point theorem is applied to the torus action on the $d''$-complex of $\LB$ and information is obtained about the lattice points of $\Box$.
Sacha Sardo-Infirri
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The Dold-Lefschetz fixed point theorem / Gary M. Wilson

, 1991
Gary Wilson
semanticscholar   +4 more sources

Concentration theorem and relative fixed point formula of Lefschetz type in Arakelov geometry [PDF]

Journal für die reine und angewandte Mathematik (Crelles Journal), 2010
In this paper we prove a concentration theorem for arithmetic $K_0$-theory, this theorem can be viewed as an analog of R. Thomason's result in the arithmetic case. We will use this arithmetic concentration theorem to prove a relative fixed point formula of Lefschetz type in the context of Arakelov geometry.
Shun Tang
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Lefschetz Fixed-Point Theorem and Lattice Points in Convex Polytopes

Advances in Mathematics, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Infirri
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Pure strategy Nash equilibrium points and the Lefschetz fixed point theorem [PDF]

International Journal of Game Theory, 1983
A pure strategy Nash equilibrium point existence theorem is established for a class ofn-person games with possibly nonacyclic (e.g. disconnected) strategy sets. The principal tool used in the proof is a Lefschetz fixed point theorem for multivalued maps, due to Eilenberg and Montgomery, which extends their better known. Eilenberg-Montgomery fixed point
L. Tesfatsion
openaire   +3 more sources

The equivariant Lefschetz fixed point theorem for proper cocompact G-manifolds [PDF]

, 2002
Suppose one is given a discrete group G, a cocompact proper G-manifold M, and a G-self-map f of M. Then we introduce the equivariant Lefschetz class of f, which is globally defined in terms of cellular chain complexes, and the local equivariant Lefschetz class of f, which is locally defined in terms of fixed point data.
Wolfgang Lueck, Jonathan Rosenberg
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A Lefschetz-type fixed point theorem [PDF]

Fundamenta Mathematicae, 1975
Lech Górniewicz
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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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Generalized Lefschetz theorem and a fixed point index formula

Topology and its Applications, 1997
The Lefschetz fixed point theorem says that if the Lefschetz index \(\Lambda(f)\) of a continuous mapping \(f:X\to X\) from a finite polyhedron \(X\) into itself is non-zero, then \(f\) has a fixed point. Here, \(\Lambda(f)\) is defined as a sum \(\Lambda(f)=\sum_n (-1)^n\cdot \text{ tr}(h_n(f))\), where \(h_n(f)\) is a homomorphism of a \(Z\)-module \(
Roman Srzednicki
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