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Orientability of vector bundles over real flag manifolds
Vector bundles Orientability Flag manifold
2011/1/17
The purpose of this paper is to give necessary and sufficient conditions for the orientability of vector bundles over flag manifolds of real semi-simple Lie groups. We focus on two kinds of vector bun...
A simple proof of orientability in the colored Boulatov model
simple proof of orientability colored Boulatov model
2011/2/22
In this short note we use results from the theory of crystallizations to prove that color in group eld theories garantees orientability of the piecewise linear pseudo-manifolds associated to each gra...
Orientability and energy minimization in liquid crystal models
Orientability energy minimization liquid crystal models
2010/12/6
Uniaxial nematic liquid crystals are modelled in the Oseen-Frank theory through a unit vector field n. This theory has the apparent drawback that it does not respect the head-to-tail symmetry in which...
On the Orientability of the Slice Filtration
Algebraic Cobordism K-theory Mixed Motives Motivic Atiyah-Hirzebruch Spectral Sequence Oriented Cohomology Theories
2010/12/9
Let X be a Noetherian separated scheme of finite Krull dimension.We show that the layers of the slice filtration in the motivic stable homotopy category SH are strict modules over Voevodsky’s algebrai...
Orientability thresholds for random hypergraphs
Orientability thresholds random hypergraphs
2010/12/14
Let h > w > 0 be two fixed integers. Let H be a random hypergraph whose hyperedges are all of cardinality h. To w-orient a hyperedge, we assign exactly w of its vertices positive signs with respect to...