Results 1 to 10 of about 245 (151)
Lefschetz fixed point theorems for correspondences [PDF]
, 2022 The classical Lefschetz fixed point theorem states that the number of fixed points, counted with multiplicity $\pm 1$, of a smooth map $f$ from a manifold $M$ to itself can be calculated as the alternating sum $\sum (-1)^k \textrm{ tr } f^*|_{H^k(M)}$ of the trace of the induced homomorphism in cohomology.
Loring W. Tu
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The Lefschetz Fixed Point Theorem for Compact Groups [PDF]
Proceedings of the American Mathematical Society, 1977 It is shown that every compact group G is a Q-simplicial space where Q is any field of characteristic zero. As a consequence it follows that G satisfies a variation of the Lefschetz fixed point theorem. It has been known for some time that the Lefschetz fixed point theorem applies to a few spaces other than just ANR spaces, especially if some care is ...
R. J. Knill
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A Lefschetz fixed point theorem in gravitational lensing [PDF]
Journal of Mathematical Physics, 2007 Topological invariants play an important role in the theory of gravitational lensing by constraining the image number. Furthermore, it is known that, for certain lens models, the image magnifications μi obey invariants of the form ∑iμi=1. In this paper, we show that this magnification invariant is the holomorphic Lefschetz number of a suitably defined ...
Marcus C. Werner
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Lefschetz-type fixed point theorems for spheric mappings [PDF]
Fixed Point Theory, 2018 In this paper, Lefschetz-type fixed point theorems are given for spheric maps on approximative retracts, weak approximative retracts, and multiretracts. The authors also present randomized versions of these theorems and indicate some further generalizations and possibilities. Finally they formulate three open problems.
Ján Andres, Lech Górniewicz
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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 for digital images [PDF]
Fixed Point Theory and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Özgür Ege, İsmet Karaca
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The Lefschetz Fixed Point Theorem for Noncompact Locally Connected Spaces [PDF]
Transactions of the American Mathematical Society, 1972 Leray's notion of convexoid space is localized and used to show that if f: M- M is a relatively compact map on a locally convex manifold M, and f has no fixed points then its Lefschetz trace is zero. A similar theorem holds for certain ad junction spaces Y Uj Z where Y is Q-simplicial and Z is locally convexoid.
R. J. Knill
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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 [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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Lefschetz fixed point theorem for acyclic maps with multiplicity
Topological Methods in Nonlinear Analysis, 2002 The authors study so-called weighted set-valued maps (in their terminology called \(m\)-multivalued maps), i.e. compact-valued upper semicontinuous mappings \(F: X\to Y\) between compact spaces whose values are finite disjoint unions of finitely many components, acyclic with respect to the Čech homology with coefficients in a field \(\mathbb{F}\) and ...
Fritz von Haeseler +2 more
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