Twisted book decompositions and the Goeritz groups

2019/08/30 by Daiki Iguchi, Iguchi, Daiki, Yuya Koda +1
Mathematics · Computer Science · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1908.11563

Abstract

We consider the Goeritz groups of the Heegaard splittings induced from twisted book decompositions. We show that there exist Heegaard splittings of distance 2 that have the infinite-order mapping class groups whereas that are not induced from open book decompositions. Explicit computation of those mapping class groups are given.

Citations

• Curves on 2-manifolds and isotopies

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