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articleNo Access
On knotted real projective planes
- Yongju Bae,
- Seonmi Choi, and
- Akio Kawauchi
Journal of Knot Theory and Its Ramifications01 Sep 2015
Preview Abstract
Let be a hyperbolic transformation. Let B be a new band attaching to L such that is also a hyperbolic transformation. In this paper, we will study the relationship between the realizing surfaces and . If B is a noncoherent band to both L and such that is defined, then and are ambient isotopic, where RP² is one of the standard real projective planes. We will study the triviality of because as an application, RP² can untangle some knotted sphere with suitable conditions, when it is attached to by the connected sum.

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