Matrix regularization of embedded 4-manifolds
نویسندگان
چکیده
منابع مشابه
Stabilisation, Bordism and Embedded Spheres 4–manifolds
It is one of the most interesting facts in 4–dimensional topology that even in simply–connected 4–manifolds, not every homology class of degree 2 can be represented by an embedded sphere. In 1978, M. Freedman and R. Kirby showed that many of the obstructions against constructing such a sphere vanish if one modifies the ambient 4–manifold by adding copies of products of spheres, a process which ...
متن کاملStabilisation, Bordism and Embedded Spheres in 4–manifolds
It is one of the most important facts in 4–dimensional topology that there are 4–manifolds in which not every spherical homology class of degree 2 can be represented by an embedded sphere. In 1978, M. Freedman and R. Kirby showed that in the simply connected case, many of the obstructions to constructing such a sphere vanish if one modifies the ambient 4–manifold by adding products of 2–spheres...
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A strategy for constructing an embedded sphere in a 4–manifold realizing a given homology class which has been successfully applied in the past is to represent the class as a first step stably by an embedded sphere, i.e. after adding products of 2–spheres, and to move that sphere back into the original manifold. In this paper, we study under what conditions the first step of this approach can b...
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We construct a Q = 1 supersymmetry and U(1)5 global symmetry preserving deformation of the type IIB matrix model. This model, without orbifold projection, serves as a nonperturbative regularization forN = 4 supersymmetric Yang-Mills theory in four Euclidean dimensions. Upon deformation, the eigenvalues of the bosonic matrices are forced to reside on the surface of a hypertorus. We explicitly sh...
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An embedding of an n-dimensional manifold M into R is called k-neighborly if, for every k points on the embedded manifold, there is a hyperplane H in R which supports the manifold precisely at these points. Micha A. Perles (Problems presented in Oberwolfach conference on “Convexity”, 1982) asked: What is the smallest dimension d(k,n) of the ambient space in which a k-neighborly n-dimensional ma...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2012
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2012.07.020