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Reflexive polytopes of higher index and the number 12
Reflexive polytopes higher index the number 12 Algebraic Geometry
2011/9/20
Abstract: We introduce reflexive polytopes of index l as a natural generalisation of the notion of a reflexive polytope of index 1. These l-reflexive polytopes also appear as dual pairs. In dimension ...
Higher index theory for certain expanders and Gromov monster groups II
Higher index theory certain expanders Gromov monster groups II
2011/2/22
In this paper, the second of a series of two, we continue the study of higher index theory for expanders. We prove that if a sequence of graphs has girth tending to infinity, then the maximal coarse B...
Higher index theory for certain expanders and Gromov monster groups I
Higher index theory certain expanders Gromov monster groups I
2011/2/22
In this paper, the first of a series of two, we continue the study of higher index theory for expanders. We prove that if a sequence of graphs is an expander and the girth of the graphs tends to infin...