Double knot surgeries to S^4 and S^2 x S^2

Selman Akbulut

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arXiv · 1103.3137

Double knot surgeries to S^4 and S^2 x S^2

Selman Akbulut

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Abstract

It is known that S^4 is a union of two fishtails, and S^2 x S^2 is a union of two cusps (glued along their boundaries). Here we prove that, for any choice of knots K,L in S^3, performing knot surgery operations to S^4 and S^2 x S^2, along both of the fishtails and cusps, respectively, do not change the diffeomorphism type of these manifolds.

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BibTeX RIS

Selman Akbulut. 2011-07-10. Double knot surgeries to S^4 and S^2 x S^2. https://arxiv.org/abs/1103.3137

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