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- W2092982749 abstract "In Width complexes for knots and 3-manifolds, Jennifer Schultens defines the width complex for a knot in order to understand the different positions a knot can occupy in the 3-sphere and the isotopies between these positions. She poses several questions about these width complexes; in particular, she asks whether the width complex for a knot can have local minima that are not global minima. In this paper, we find an embedding of the unknot that is a local minimum but not a global minimum in its width complex. We use this embedding to exhibit for any knot K infinitely many distinct local minima that are not global minima of the width complex for K." @default.
- W2092982749 created "2016-06-24" @default.
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- W2092982749 date "2011-04-01" @default.
- W2092982749 modified "2023-09-23" @default.
- W2092982749 title "Unexpected local minima in the width complexes for knots" @default.
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- W2092982749 doi "https://doi.org/10.2140/agt.2011.11.1097" @default.
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