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- W3188778815 abstract "We give an obstruction for genus one knots $K$, $K'$ to have the Gordian distance one by using the $0$th coefficient of the HOMFLT polynomials. As an application, we give a new constraint for genus one knot to admit a (generalized) cosmetic crossing. Combining known results, we prove the (generalized) cosmetic crossing conjecture for genus one pretzel knots." @default.
- W3188778815 created "2021-08-16" @default.
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- W3188778815 date "2021-08-10" @default.
- W3188778815 modified "2023-09-26" @default.
- W3188778815 title "An obstruction of Gordian distance one and cosmetic crossings for genus one knots" @default.
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- W3188778815 doi "https://doi.org/10.48550/arxiv.2108.04493" @default.
- W3188778815 hasPublicationYear "2021" @default.
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