High-dimensional knots corresponding to the fractional Fibonacci groups

• Autorzy: Andrzej Szczepański , Andreĭ Vesnin
• Języki publikacji: EN

Abstrakty

EN

We prove that the natural HNN-extensions of the fractional Fibonacci groups are the fundamental groups of high-dimensional knot complements. We also give some characterization and interpretation of these knots. In particular we show that some of them are 2-knots.

Kategorie tematyczne

• 19D35: Negative K -theory, NK and Nil

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1999
• Tom: 161
• Numer: 1-2
• Strony: 235-240

Daty

wydano

1999

otrzymano

1997-10-21

poprawiono

1998-02-10

Twórcy

autor

Andrzej Szczepański

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

autor

Andreĭ Vesnin

• Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, 630090, Russia

Bibliografia

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