Year: 2025
Type: article
Abstract: This monograph aims to provide a guide to the literature on topological 4-manifolds. Foundational theorems on 4-manifolds are stated, especially in the topological category. Precise references are given, with indications of the strategies employed in the proofs. Where appropriate we give statements for manifolds of all dimensions. Many intuitively plausible theorems which are standard results in differential topology are either extraordinarily deep results in the topological category, are open, or are known to be false. Hence one must proceed with caution. We seek to help 4-manifold topologists navigate potential pitfalls, and to apply the many powerful results that do exist with confidence.
Authors: Friedl, Stefan, Nagel, Matthias, Orson, Patrick, Powell, Mark
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funders: Université du Québec à Montréal, University of Glasgow, Durham University, Deutsche Forschungsgemeinschaft, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Universität Regensburg, Natural Sciences and Engineering Research Council of Canada, Engineering and Physical Sciences Research Council
OpenAlex ID: W7009955588
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