Now showing items 1-10 of 108
Bifundamental fuzzy 2-Sphere and fuzzy killing spinors
We review our construction of a bifundamental version of the fuzzy 2-sphere and its relation to fuzzy Killing spinors, first obtained in the context of the ABJM membrane model. This is shown to be completely equivalent to ...
Horo-tight spheres in hyperbolic space
We study horo-tight immersions of manifolds into hyperbolic spaces. The main result gives several characterizations of horo-tightness of spheres, answering a question proposed by Cecil and Ryan. For instance, we prove that ...
Blakers-Massey elements and exotic diffeomorphisms of S-6 and S-14 via geodesics
(Amer Mathematical SocProvidenceEUA, 2004)
A new number field construction of the lattice E8
Known number theoretical constructions of the lattice E8 use the cyclotomic fields Q(ζ15), Q(ζ20), and Q(ζ24). In this work, an infinite family of Abelian number fields yielding rotated versions of the lattice E 8 is ...
A family of asymptotically good lattices having a lattice in each dimension
(World Scientific Publ Co Pte Ltd, 2008-02-01)
A new constructive family of asymptotically good lattices with respect to sphere packing density is presented. The family has a lattice in every dimension n >= 1. Each lattice is obtained from a conveniently chosen integral ...
A priori estimates of the prescribed scalar curvature on the sphere.
This paper considers the prescribed scalar curvature problem on the sphere for n ≥ 3. Given a prescribed scalar curvature function K : Sn → R and a centered dilation defined by Fy = Σ−1 ◦ Dβ ◦ Σ, y ∈ Bn+1, where Σ is the ...
Two matrix-based lattice construction techniques
Let m and n be integers greater than 1. Given lattices A and B of dimensions m and n, respectively, a technique for constructing a lattice from them of dimension m+n-1 is introduced. Furthermore, if A and B possess bases ...
Equivariant homotopy and deformations of diffeomorphisms
(Elsevier Science BvAmsterdamHolanda, 2009)
The classification and the conjugacy classes of the finite subgroups of the sphere braid groups
(GEOMETRY & TOPOLOGY PUBLICATIONS, 2008)
Let n >= 3. We classify the finite groups which are realised as subgroups of the sphere braid group B(n)(S(2)). Such groups must be of cohomological period 2 or 4. Depending on the value of n, we show that the following ...