The spectrum of simplicial volume of non-compact manifolds
Sign Up to like & getrecommendations! Published in 2021 at "Geometriae Dedicata"
DOI: 10.1007/s10711-021-00647-6
Abstract: We show that, in dimension at least 4, the set of locally finite simplicial volumes of oriented connected open manifolds is $$[0,\infty ]$$ [ 0 , ∞ ] . Moreover, we consider the case of tame open… read more here.
Keywords: compact manifolds; spectrum simplicial; simplicial volume; volume non ... See more keywords
Ideal Simplicial Volume of Manifolds with Boundary
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DOI: 10.1093/imrn/rny302
Abstract: We define the ideal simplicial volume for compact manifolds with boundary. Roughly speaking, the ideal simplicial volume of a manifold $M$ measures the minimal size of possibly ideal triangulations of $M$ “with real coefficients”, thus… read more here.
Keywords: ordinary simplicial; volume; manifolds boundary; simplicial volume ... See more keywords
Integral foliated simplicial volume and S1-actions
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DOI: 10.1515/forum-2020-0079
Abstract: Abstract The simplicial volume of oriented closed connected smooth manifolds that admit a non-trivial smooth S1{S^{1}}-action vanishes. In the present work, we prove a version of this result for the integral foliated simplicial volume of… read more here.
Keywords: foliated simplicial; volume; simplicial volume; integral foliated ... See more keywords