Vol3 with its systole or second-shortest geodesic admits no positive spun ideal triangulation, by Choi's criterion applied to explicit shape varieties of census fillings.
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5 Pith papers cite this work, alongside 279 external citations. Polarity classification is still indexing.
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representative citing papers
A finite causal set from Poisson sprinkling cannot faithfully embed into two macroscopically distinct spacetimes; the two geometries are forced to agree up to an explicitly bounded approximate isometry that vanishes in the high-density limit.
Strict comparison holds in the uniform Roe algebra of any countable discrete amenable group, with an additional strong AH result for the crossed product by the universal minimal set.
Maw dual graphs extract the Thurston norm from taut sutured hierarchies, yielding pretzel-link computations that show wrapping number is not always a seminorm.
The modulus of the annulus between two nested curves is monotonically increasing under curve shortening flow in the plane and on surfaces with curvature bounds.
citing papers explorer
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Hyperbolic manifolds without positive spun triangulations
Vol3 with its systole or second-shortest geodesic admits no positive spun ideal triangulation, by Choi's criterion applied to explicit shape varieties of census fillings.
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On the Uniqueness of Embeddings of Causal Sets
A finite causal set from Poisson sprinkling cannot faithfully embed into two macroscopically distinct spacetimes; the two geometries are forced to agree up to an explicitly bounded approximate isometry that vanishes in the high-density limit.
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Strict comparison holds in the uniform Roe algebra of a discrete amenable group
Strict comparison holds in the uniform Roe algebra of any countable discrete amenable group, with an additional strong AH result for the crossed product by the universal minimal set.
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Sutured manifold hierarchies and the Thurston norm
Maw dual graphs extract the Thurston norm from taut sutured hierarchies, yielding pretzel-link computations that show wrapping number is not always a seminorm.
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Monotonicity of the modulus under curve shortening flow
The modulus of the annulus between two nested curves is monotonically increasing under curve shortening flow in the plane and on surfaces with curvature bounds.