Contact topology and the structure of 5-manifolds with $\pi _1={\mathbb {Z}}_2$

Hansjörg Geiges; Charles B. Thomas

Universal manifold pairings and positivity.

Freedman, Michael H., Kitaev, Alexei, Nayak, Chetan, Slingerland, Johannes K., Walker, Kevin, Wang, Zhenghan (2005)

Geometry & Topology

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On the non-invariance of span and immersion co-dimension for manifolds

Diarmuid J. Crowley, Peter D. Zvengrowski (2008)

Archivum Mathematicum

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In this note we give examples in every dimension $m \geq 9$ of piecewise linearly homeomorphic, closed, connected, smooth $m$ -manifolds which admit two smoothness structures with differing spans, stable spans, and immersion co-dimensions. In dimension $15$ the examples include the total spaces of certain $7$ -sphere bundles over $S^{8}$ . The construction of such manifolds is based on the topological variance of the second Pontrjagin class: a fact which goes back to Milnor and which was used by Roitberg to...

Displaying similar documents to “Contact topology and the structure of 5-manifolds with $π_{1} = ℤ_{2}$ ”

Universal manifold pairings and positivity.

On the non-invariance of span and immersion co-dimension for manifolds

3-manifolds and relativistic kinks

Displaying similar documents to “Contact topology and the structure of 5-manifolds with π 1 = ℤ 2 ”

Universal manifold pairings and positivity.

On the non-invariance of span and immersion co-dimension for manifolds

3-manifolds and relativistic kinks

Displaying similar documents to “Contact topology and the structure of 5-manifolds with $π_{1} = ℤ_{2}$ ”