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- W2316526611 abstract "Algebraic knots are known to be iterated torus knots and to admit L-space surgeries. However, Hedden proved that there are iterated torus knots that admit L-space surgeries but are not algebraic. We present an infinite family of such examples, with the additional property that no nontrivial linear combination of knots in this family is concordant to a linear combination of algebraic knots. The proof uses the Ozsvath-Stipsicz-Szabo Upsilon function, and also introduces a new invariant of L-space knots, the formal semigroup." @default.
- W2316526611 created "2016-06-24" @default.
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- W2316526611 date "2016-03-29" @default.
- W2316526611 modified "2023-09-23" @default.
- W2316526611 title "Semigroups of L-space knots and nonalgebraic iterated torus knots" @default.
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