On Nash's 4-sphere and Property 2R

Details On Nash's 4-sphere and Property 2R On Nash's 4-sphere and Property 2R

2011-02-15

arxiv.org/abs/1102.3207v1

Mathematics

Geometric Topology

19 pages, 39 figures

Scientific paper

D.Nash defined a family of homotopy 4-spheres in [11]. Proving that his
manifolds ${\mathcal S}_{m,n,m',n'}$ are all real $S^4$, we find that they have
handle decomposition with no 1-handles, two 2-handles and two 3-handles. The
handle structures give new potential counterexamples of Property 2R conjecture.

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