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An algorithmic method to compute plat-like Markov moves for genus two 3-manifolds Paolo Cavicchioli Università degli Studi di Modena e Reggio Emilia |
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Аннотация: The talk deals with equivalence of links in 3-manifolds of Heegaard genus 2. Starting from a description of such a manifold introduced in [1], 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 in [2] for genus 1 manifolds. We describe in particular a case of this construction. [1] Casali, M. R. & Grasselli, L. 2-symmetric crystallizations and 2-fold branched coverings of S3.Discrete Math.87,9–22 (1991). [2] Cattabriga, A. & Gabrovšek, B. A Markov theorem for generalized plat decomposition. Ann.Sc. Norm. Super. Pisa Cl. Sci.XX,1273–1294 (2018). Идентификатор Zoom-конференции: 811 2983 6901; Пароль: 138675 Сслыка для подключения к конференции Zoom: https://us02web.zoom.us/j/81129836901?pwd=ZHU0UlhKZ0hZTlNZTitKemNGZHlIUT09 Язык доклада: английский |