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- W4289362764 abstract "We define the notion of a knot type having Legendrian large cables and show that having this property implies that the knot type is not uniformly thick. Moreover, there are solid tori in this knot type that do not thicken to a solid torus with integer sloped boundary torus, and that exhibit new phenomena; specifically, they have virtually overtwisted contact structures. We then show that there exists an infinite family of ribbon knots that have Legendrian large cables. These knots fail to be uniformly thick in several ways not previously seen. We also give a general construction of ribbon knots, and show when they give similar such examples." @default.
- W4289362764 created "2022-08-02" @default.
- W4289362764 creator A5049442923 @default.
- W4289362764 date "2018-10-29" @default.
- W4289362764 modified "2023-09-30" @default.
- W4289362764 title "Legendrian Large Cables And New Phenomenon For Non-Uniformly Thick Knots" @default.
- W4289362764 doi "https://doi.org/10.2140/agt.2023.23.2561" @default.
- W4289362764 hasPublicationYear "2018" @default.
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