Hannah L. Turner

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math.GT2024

Searching for non-order-preserving braids algorithmically

Jonathan Johnson, Nancy Scherich, Hannah Turner

An $n$ -strand braid is order-preserving if its action on the free group $F_{n}$ preserves some bi-order of $F_{n}$ . A braid $β$ is order-preserving if and only if the link $L$ obtained…

math.GT2020

Left-orderability, branched covers and double twist knots

Hannah Turner

For some families of two-bridge knots, including double-twist knots with genus at least four, we determine precisely the set of integers $n > 1$ such that the fundamental group of th…