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40,987
Tessellations of random maps of arbitrary genus
, 2009
"... We investigate Voronoilike tessellations of bipartite quadrangulations on surfaces of arbitrary genus, by using a natural generalization of a bijection of Marcus and Schaeffer allowing to encode such structures into labeled maps with a fixed number of faces. We investigate the scaling limits of the ..."
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Cited by 43 (5 self)
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We investigate Voronoilike tessellations of bipartite quadrangulations on surfaces of arbitrary genus, by using a natural generalization of a bijection of Marcus and Schaeffer allowing to encode such structures into labeled maps with a fixed number of faces. We investigate the scaling limits
Supersymmetric Q Solitons of Arbitrary Genus
, 2007
"... We construct “Flying Saucer ” solitons in supersymmetric N = 2 gauge theory which is known to support BPS domain walls with a U(1) gauge field localized on its worldvolume. We demonstrate that this model supports exotic particlelike solitons whose topology is largely arbitrary: closed orientable su ..."
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surfaces in threedimensional space which can have arbitrary genus. In particular, we focus on Q tori. Q tori and similar solitons of higher genera are obtained by folding the domain wall into an appropriate surface. Nontrivial cycles on the domain wall worldvolume (handles) are stabilized by crossed
Annular embeddings of permutations for arbitrary genus
, 2008
"... In the symmetric group on a set of size 2n, let P2n denote the conjugacy class of involutions with no fixed points (equivalently, we refer to these as “pairings”, since each disjoint cycle has length 2). Harer and Zagier explicitly determined the distribution of the number of disjoint cycles in the ..."
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Cited by 2 (0 self)
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in the product of a fixed cycle of length 2n and the elements of P2n. Their famous result has been reproved many times, primarily because it can be interpreted as the genus distribution for 2cell embeddings in an orientable surface, of a graph with a single vertex attached to n loops. In this paper we give a
Compact polyhedral surfaces of arbitrary genus and determinants
 of Laplacians, Math arXiv:0906.0725v1
"... Abstract. Compact polyhedral surfaces (or, equivalently, compact Riemann surfaces with conformal flat conical metrics) of an arbitrary genus are considered. After giving a short selfcontained survey of their basic spectral properties, we study the zetaregularized determinant of the Laplacian as a ..."
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Cited by 6 (1 self)
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Abstract. Compact polyhedral surfaces (or, equivalently, compact Riemann surfaces with conformal flat conical metrics) of an arbitrary genus are considered. After giving a short selfcontained survey of their basic spectral properties, we study the zetaregularized determinant of the Laplacian as a
Multiresolution Analysis of Arbitrary Meshes
, 1995
"... In computer graphics and geometric modeling, shapes are often represented by triangular meshes. With the advent of laser scanning systems, meshes of extreme complexity are rapidly becoming commonplace. Such meshes are notoriously expensive to store, transmit, render, and are awkward to edit. Multire ..."
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Cited by 605 (16 self)
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in practice typically do not meet this requirement. In this paper we present a method for overcoming the subdivision connectivity restriction, meaning that completely arbitrary meshes can now be converted to multiresolution form. The method is based on the approximation of an arbitrary initial mesh M by a
Multiresolution Analysis for Surfaces Of Arbitrary . . .
, 1993
"... Multiresolution analysis provides a useful and efficient tool for representing shape and analyzing features at multiple levels of detail. Although the technique has met with considerable success when applied to univariate functions, images, and more generally to functions defined on lR , to our k ..."
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Cited by 390 (3 self)
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knowledge it has not been extended to functions defined on surfaces of arbitrary genus. In this
COMPLETE BOUNDED HOLOMORPHIC CURVES IMMERSED IN C 2 WITH ARBITRARY GENUS
, 810
"... ABSTRACT. In [MUY], a complete holomorphic immersion of the unit disk D into C 2 whose image is bounded was constructed. In this paper, we shall prove existence of complete holomorphic null immersions of Riemann surfaces with arbitrary genus and finite topology, whose image is bounded in C 2. To con ..."
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Cited by 9 (3 self)
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ABSTRACT. In [MUY], a complete holomorphic immersion of the unit disk D into C 2 whose image is bounded was constructed. In this paper, we shall prove existence of complete holomorphic null immersions of Riemann surfaces with arbitrary genus and finite topology, whose image is bounded in C 2
hepth/9804031 AdS Membranes Wrapped on Surfaces of Arbitrary Genus
, 1998
"... We present and analyze solutions of D = 11 supergravity describing the “nearhorizon” (i.e., asymptotically AdS4 × S7) geometry of M2branes wrapped on surfaces of arbitrary genus. We study the forces experienced by test M2branes in such backgrounds, and find evidence that extremal branes on surface ..."
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We present and analyze solutions of D = 11 supergravity describing the “nearhorizon” (i.e., asymptotically AdS4 × S7) geometry of M2branes wrapped on surfaces of arbitrary genus. We study the forces experienced by test M2branes in such backgrounds, and find evidence that extremal branes
The irreducibility of the space of curves of given genus
 Publ. Math. IHES
, 1969
"... Fix an algebraically closed field k. Let Mg be the moduli space of curves of genus g over k. The main result of this note is that Mg is irreducible for every k. Of course, whether or not M s is irreducible depends only on the characteristic of k. When the characteristic s o, we can assume that k ~ ..."
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Cited by 512 (2 self)
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Fix an algebraically closed field k. Let Mg be the moduli space of curves of genus g over k. The main result of this note is that Mg is irreducible for every k. Of course, whether or not M s is irreducible depends only on the characteristic of k. When the characteristic s o, we can assume that k
Results 1  10
of
40,987