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pro vyhledávání: '"Weiss Michael"'
We construct a Poincar\'e complex whose periodic total surgery obstruction vanishes but whose Spivak normal fibration does not admit a reduction to a stable euclidean bundle. This contradicts the conjunction of two claims in the literature: Namely, o
Externí odkaz:
http://arxiv.org/abs/2406.14677
Autor:
Kumar, Amarjeet, Jiang, Hongxu, Imran, Muhammad, Valdes, Cyndi, Leon, Gabriela, Kang, Dahyun, Nataraj, Parvathi, Zhou, Yuyin, Weiss, Michael D., Shao, Wei
Deep learning has become the de facto method for medical image segmentation, with 3D segmentation models excelling in capturing complex 3D structures and 2D models offering high computational efficiency. However, segmenting 2.5D images, which have hi
Externí odkaz:
http://arxiv.org/abs/2405.00130
We show that in codimension at least 3, spaces of locally flat topological embeddings of manifolds are correctly modelled by derived spaces of maps between their configuration categories (under mild smoothability conditions). That general claim was r
Externí odkaz:
http://arxiv.org/abs/2401.00799
The configuration category of a manifold is a topological category which we view as a Segal space, via the nerve construction. Our main result is that the unordered configuration category, suitably truncated, admits a finite presentation as a complet
Externí odkaz:
http://arxiv.org/abs/2312.17632
We investigate the relationship between the configuration category of a manifold and the configuration category of a covering space of that manifold.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/2312.17631
In two parts, we present a bigness criterion for the cotangent bundle of resolutions of orbifold surfaces of general type. As a corollary, we obtain the \textit{canonical model singularities} (CMS) criterion that can be applied to determine when a bi
Externí odkaz:
http://arxiv.org/abs/2312.03190