Papers › An algorithmic method to compute plat-like Markov moves for genus two 3-manifolds
An algorithmic method to compute plat-like Markov moves for genus two 3-manifolds
Paolo Cavicchioli
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This article deals with equivalence of links in 3-manifolds of Heegaard genus 2. Starting from a description of such a manifold introduced by Casali et al., that uses 6-tuples of integers and determines a Heegaard decomposition of the manifold, we construct an algorithm (implemented in c++) which allows to find the words in B_(2, 2n), the braid group on 2n strands of a surface of genus 2, that realizes the plat-equivalence for links in that manifold. In this way we extend to the case of genus 2 the result obtained by Cattabriga et al. for genus 1 manifolds. We describe explicitly the words for a notable group of manifolds.
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