Regular-equivalence of 2-knot diagrams and sphere eversions
Takase, Masamichi · Tanaka, Kokoro
Original · EN
For each diagram D of a 2-knot, we provide a way to construct a new diagram D' of the same knot such that any sequence of Roseman moves between D and D' necessarily involves branch points. The proof is done by developing the observation that no sphere eversion can be lifted to an isotopy in 4-space.
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