The topological structure deformation functions of three-dimensional manifolds of genus 2
DOI:
https://doi.org/10.15673/2072-9812.4/2014.41573Keywords:
The Heegaard diagram, Morse functions, three-dimensional manifold, topological equivalenceAbstract
We consider the deformation of polar Morse-Smale vector fields without closed orbit on closed 3-manifolds. Heegaard diagram are building by the field. We describe diagram transformation corresponded to deformation of field. We conside Heegaard diarams of genus 2, which have four and less points of intersection between meridians. The situation that the vertices have a simple loop are investigated. All possible transformations of diagram was discribing, using the operations of sliding, pulling loops, permutations of the vertices. Thus we find all nonhomeomorphic diagrams and all possible transformations of it.References
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