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OP-11750Status unassessedGeometry and topology

Group trisections · Question 4.4

Trisections and low-dimensional topology · AIMPL workshop record

MSC 57 · Manifolds and cell complexes

Editorial mapping of AIMPL list topic: Trisections and low-dimensional topology. http://aimpl.org/trisections/ Not an author-supplied MSC code.

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Problem statement

Accourding to a classical theorem by Wall, any two homotopoy equivalent, simply connected smooth closed 44-manifolds XX and YY become diffeomorphic after stabilizing by taking connected sums with some number of S1×S2S^1\times S^2's. What does it says about trisections of the trivial group?

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References
  1. [1]Trisections and low-dimensional topology · Original question link
  2. [2]AIMPL source bibliography link
  3. [3]AIMPL text license · CC BY-SA 3.0 linkAIM Problem Lists (AIMPL), original contributors; CC BY-SA 3.0. Adaptation: structural TeX converted to Markdown, documented source macros expanded, and source bibliography links added. Mathematical wording retained. These adapted source texts remain under CC BY-SA 3.0.

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