New topologically slice knots.
Friedl, Stefan, Teichner, Peter (2005)
Geometry & Topology
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Friedl, Stefan, Teichner, Peter (2005)
Geometry & Topology
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Ozsváth, Peter, Szabó, Zoltán (2003)
Geometry & Topology
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Szabó, Zoltán, Ozváth, Peter (2003)
Geometry & Topology
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Steven A. Bleiler (1990)
Mathematische Annalen
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R.A. Litherland (1979)
Inventiones mathematicae
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Michael H. Freedman (1982)
Inventiones mathematicae
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Paolo Lisca, Peter Ozsváth, András I. Stipsicz, Zoltán Szabó (2009)
Journal of the European Mathematical Society
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Plamenevskaya, Olga (2004)
Algebraic & Geometric Topology
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Gadgil, Siddhartha (2001)
Geometry & Topology
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Schneiderman, Rob (2003)
Algebraic & Geometric Topology
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Greg Friedman (2007)
Fundamenta Mathematicae
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We show that there exist non-trivial piecewise linear (PL) knots with isolated singularities , n ≥ 5, whose complements have the homotopy type of a circle. This is in contrast to the case of smooth, PL locally flat, and topological locally flat knots, for which it is known that if the complement has the homotopy type of a circle, then the knot is trivial.
Akira Yasuhara (1992)
Revista Matemática de la Universidad Complutense de Madrid
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We investigate the knots in the boundary of the punctured complex projective plane. Our result gives an affirmative answer to a question raised by Suzuki. As an application, we answer to a question by Mathieu.