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• W2091024523 abstract "In this paper we examine the relationship between various types of positivity for knots and the concordance invariant τ discovered by Ozsváth and Szabó and independently by Rasmussen. The main result shows that, for fibered knots, τ characterizes strong quasipositivity. This is quantified by the statement that for K fibered, τ(K) = g(K) if and only if K is strongly quasipositive. A corollary is that any knot admitting a lens space surgery or, more generally, an L-space surgery, is strongly quasipositive. In addition, we survey existing results regarding τ and forms of positivity and highlight several consequences concerning the types of knots which are (strongly) (quasi) positive." @default.
• W2091024523 created "2016-06-24" @default.
• W2091024523 creator A5086393804 @default.
• W2091024523 date "2010-05-01" @default.
• W2091024523 modified "2023-09-30" @default.
• W2091024523 title "NOTIONS OF POSITIVITY AND THE OZSVÁTH–SZABÓ CONCORDANCE INVARIANT" @default.
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• W2091024523 doi "https://doi.org/10.1142/s0218216510008017" @default.
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