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9 results for spin-offs

By studying the action of the Weyl group of a simple Lie algebra on its root lattice, we construct torsion free subgroups of small and explicitly determined index in a large infinite class of Coxeter groups. One spin-off is the construction of hyperbolic manifolds of very small volume in up to 8 dimensions.

2008-02-21abs ↗pdf ↗

A microscopic approach to macroeconomic features is intended. A model for macroeconomic behavior under heterogeneous spatial economic conditions is reviewed. A birth-death lattice gas model taking into account the influence of an economic environment on the fitness and concentration evolution of economic entities is nu…

2004-02-03abs ↗pdf ↗

This research reinterprets Lie and Cartan's work on geometric structures using Lie groupoids.

problem Revisiting Lie and Cartan's geometric structures from a modern perspective.
method Encoding geometric structures into principal GG-bundles with a transversally parallelisable foliation.
result Developed a notion of flatness for Lie groupoids encompassing various geometric structures.

The present paper deals with mirror symmetry aspects of compact ``barely'' G2G_2 manifolds, that is, G2G_2 manifolds of the form (CY×S1)/Z2\times S^1)/\mathbb{Z}_2. We propose that the mirror of any barely G2G_2 manifold is another barely one and which is constructed as a fibration of the \emph{mirror} of the CY base. Also,…

2007-07-10abs ↗pdf ↗