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On the Euler Characteristic
"... Abstract. We discuss the Euler Characteristic and some of the consequences of its topological invariance. We start by following the path of history that motivated the study of this characteristic. Several equivalent definitions are given, along with some advantages of each. We then discuss how the E ..."
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Abstract. We discuss the Euler Characteristic and some of the consequences of its topological invariance. We start by following the path of history that motivated the study of this characteristic. Several equivalent definitions are given, along with some advantages of each. We then discuss how
Euler Characteristic
"... Euler characteristic is a very important topological property which started out as nothing more than a simple formula involving polyhedra. Euler observed that in any polyhedron, the sum of the number of vertices, v, and number of faces, f, was two more than the number of edges, e. In other words, Eu ..."
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Euler characteristic is a very important topological property which started out as nothing more than a simple formula involving polyhedra. Euler observed that in any polyhedron, the sum of the number of vertices, v, and number of faces, f, was two more than the number of edges, e. In other words
THE EULER CHARACTERISTIC OF AN
, 2013
"... Abstract. 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 ..."
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Abstract. 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
AND THE EULER CHARACTERISTIC
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Euler characteristics of moduli spaces of curves
, 2008
"... Let M n g be the moduli space of npointed Riemann surfaces of genus g. Denote by M n g the DeligneMumford compactification of M n g. In the present paper, we calculate the orbifold and the ordinary Euler characteristic of M n g for any g and n such that n> 2 − 2g. ..."
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Let M n g be the moduli space of npointed Riemann surfaces of genus g. Denote by M n g the DeligneMumford compactification of M n g. In the present paper, we calculate the orbifold and the ordinary Euler characteristic of M n g for any g and n such that n> 2 − 2g.
The Euler Characteristic of a Category
 DOCUMENTA MATH.
, 2008
"... The Euler characteristic of a finite category is defined and shown to be compatible with Euler characteristics of other types of object, including orbifolds. A formula is proved for the cardinality of a colimit of sets, generalizing the classical inclusionexclusion formula. Both rest on a generali ..."
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Cited by 35 (4 self)
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The Euler characteristic of a finite category is defined and shown to be compatible with Euler characteristics of other types of object, including orbifolds. A formula is proved for the cardinality of a colimit of sets, generalizing the classical inclusionexclusion formula. Both rest on a
EULER CHARACTERISTIC AND CELLULAR FOLDING
"... In this paper we investigate the action of Euler characteristic on CWcomplexes under some known operations such ..."
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In this paper we investigate the action of Euler characteristic on CWcomplexes under some known operations such
Euler characteristics and chromatic polynomials
 SHIVAL DASU AND MATILDE MARCOLLI
"... Abstract Given a graph we show how to construct a family of manifolds whose Euler characteristics are the values of the chromatic polynomial of the graph at various integers. The manifolds are simple generalisations of configuration spaces. ..."
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Abstract Given a graph we show how to construct a family of manifolds whose Euler characteristics are the values of the chromatic polynomial of the graph at various integers. The manifolds are simple generalisations of configuration spaces.
Euler characteristics of algebraic varieties
 Communications on Pure and Applied Math. LXI
"... Abstract. The aim of this note is to study the behavior of intersection homology Euler characteristic under morphisms of algebraic varieties. The main result is a direct application of the BBDG decomposition theorem. Similar formulae for Hodgetheoretic invariants of algebraic varieties were announc ..."
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Cited by 18 (8 self)
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Abstract. The aim of this note is to study the behavior of intersection homology Euler characteristic under morphisms of algebraic varieties. The main result is a direct application of the BBDG decomposition theorem. Similar formulae for Hodgetheoretic invariants of algebraic varieties were
Euler characteristics of arithmetic groups
, 2003
"... We develop a general method for computing the homological Euler characteristic of finite index subgroups Γ of GLm(OK) where OK is the ring of integers in a number field K. With this method we find, that for large, explicitly computed dimensions m, the homological Euler characteristic of finite index ..."
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We develop a general method for computing the homological Euler characteristic of finite index subgroups Γ of GLm(OK) where OK is the ring of integers in a number field K. With this method we find, that for large, explicitly computed dimensions m, the homological Euler characteristic of finite
Results 1  10
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1,612