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Topologically flat embedded 2-spheres in specific simply connected 4-manifolds

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Publication:2058916
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DOI10.1007/978-3-030-62497-2_4zbMath1490.57025arXiv1909.05512OpenAlexW2972813457MaRDI QIDQ2058916

Ana G. Lecuona, Daniel Kasprowski, Peter Lambert-Cole, Markus Land

Publication date: 10 December 2021

Full work available at URL: https://arxiv.org/abs/1909.05512


zbMATH Keywords

second homologysimply connected closed 4-manifoldssmooth or topologically flat embedded spheres


Mathematics Subject Classification ID

Realizing cycles by submanifolds (57R95) General topology of 4-manifolds (57K40)




Cites Work

  • Unnamed Item
  • Locally flat 2-spheres in simply connected 4-manifolds
  • The topology of four-dimensional manifolds
  • Ends of maps. III: Dimensions 4 and 5
  • The minimal genus problem
  • An application of gauge theory to four dimensional topology
  • The minimal genus problem in \(\mathbb{CP}^2\# \mathbb{CP}^2\)
  • Minimal genus in 4-manifolds with a free circle action
  • Minimal genus in circle bundles over 3-manifolds
  • Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
  • Existence of π 1 -Negligible Embeddings in 4-Manifolds: A Correction to Theorem 10.5 of Freedman and Quinn




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