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- W4288104080 abstract "We prove that for a fixed braid index there are only finitely many possible shapes of the annular Rasmussen $d_t$ invariant of braid closures. Applying the same perspective to the knot Floer invariant $Upsilon_K(t)$, we show that for a fixed concordance genus of $K$ there are only finitely many possibilities for $Upsilon_K(t)$. Focusing on the case of 3-braids, we compute the Rasmussen $s$ invariant and the annular Rasmussen $d_t$ invariant of all 3-braid closures. As a corollary, we show that the vanishing/non-vanishing of the $psi$ invariant is entirely determined by the $s$ invariant and the self-linking number." @default.
- W4288104080 created "2022-07-28" @default.
- W4288104080 creator A5014431984 @default.
- W4288104080 date "2019-09-19" @default.
- W4288104080 modified "2023-09-29" @default.
- W4288104080 title "Annular Rasmussen invariants: Properties and 3-braid classification" @default.
- W4288104080 doi "https://doi.org/10.48550/arxiv.1909.09245" @default.
- W4288104080 hasPublicationYear "2019" @default.
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