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485,415
THE EULER CHARACTERISTIC OF AN Evendimensional Graph
, 2013
"... We write the Euler characteristic χ(G) of a four dimensional finite simple geometric graph G = (V, E) in terms of the Euler characteristic χ(G(ω)) of twodimensional geometric subgraphs G(ω). The Euler curvature K(x) of a four dimensional graph satisfying the GaussBonnet relation ∑ x∈V K(x) = χ( ..."
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Cited by 2 (2 self)
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We write the Euler characteristic χ(G) of a four dimensional finite simple geometric graph G = (V, E) in terms of the Euler characteristic χ(G(ω)) of twodimensional geometric subgraphs G(ω). The Euler curvature K(x) of a four dimensional graph satisfying the GaussBonnet relation ∑ x∈V K(x) = χ
Renormalization group flows from holography  Supersymmetry and a ctheorem
 ADV THEOR. MATH. PHYS
, 1999
"... We obtain first order equations that determine a supersymmetric kink solution in fivedimensional N = 8 gauged supergravity. The kink interpolates between an exterior antide Sitter region with maximal supersymmetry and an interior antide Sitter region with one quarter of the maximal supersymmetry. ..."
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Cited by 294 (25 self)
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sector of N = 2 gauge theories based on quiver diagrams. We consider more general kink geometries and construct a cfunction that is positive and monotonic if a weak energy condition holds in the bulk gravity theory. For evendimensional boundaries, the cfunction coincides with the trace anomaly
Evendimensional l –monoids and L–theory
"... Surgery theory provides a method to classify n–dimensional manifolds up to diffeomorphism given their homotopy types and n 5. In Kreck’s modified version, it suffices to know the normal homotopy type of their n 2 –skeletons. While the obstructions in the original theory live in Wall’s L–groups, th ..."
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Surgery theory provides a method to classify n–dimensional manifolds up to diffeomorphism given their homotopy types and n 5. In Kreck’s modified version, it suffices to know the normal homotopy type of their n 2 –skeletons. While the obstructions in the original theory live in Wall’s L
THERE ARE NO ALGEBRAICALLY INTEGRABLE OVALS IN EVENDIMENSIONAL SPACES V.A. VASSILIEV
"... Abstract. We prove that there are no bounded domains with smooth boundaries in evendimensional Euclidean spaces, such that the volumes cut off from them by affine hyperplanes depend algebraically on these hyperplanes. For convex ovals in R2, this is the Newton’s Lemma XXVIII, see [11], [14], [2], ..."
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Abstract. We prove that there are no bounded domains with smooth boundaries in evendimensional Euclidean spaces, such that the volumes cut off from them by affine hyperplanes depend algebraically on these hyperplanes. For convex ovals in R2, this is the Newton’s Lemma XXVIII, see [11], [14], [2
Quantization of EvenDimensional Actions of ChernSimons Form with Infinite Reducibility
, 1998
"... We investigate the quantization of evendimensional topological actions of ChernSimons form which were proposed previously. We quantize the actions by Lagrangian and Hamiltonian formulations à la Batalin, Fradkin and Vilkovisky. The models turn out to be infinitely reducible and thus we need an inf ..."
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We investigate the quantization of evendimensional topological actions of ChernSimons form which were proposed previously. We quantize the actions by Lagrangian and Hamiltonian formulations à la Batalin, Fradkin and Vilkovisky. The models turn out to be infinitely reducible and thus we need
K HOMOLOGY AND REGULAR SINGULAR DIRACSCHRÖDINGER OPERATORS ON EVENDIMENSIONAL MANIFOLDS
, 1997
"... We identify a class of DiracSchrödinger operators on incomplete manifolds and show that the index theory of these operators, including its expression in K homology, is parallel to that of DiracSchrödinger operators on complete manifolds. ..."
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We identify a class of DiracSchrödinger operators on incomplete manifolds and show that the index theory of these operators, including its expression in K homology, is parallel to that of DiracSchrödinger operators on complete manifolds.
Results 1  10
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485,415