Geodesic
Classification of Heegaard diagrams of genus three
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 5, pp. 91-97

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We present a classification of the Heegaard diagram of genus 3 and an example of an infinite series of diagrams, which have the same type modeled on the one-dimensional skeleton of the octahedron. 
@article{FPM_2005_11_5_a7,
     author = {F. Korablev},
     title = {Classification of {Heegaard} diagrams of genus three},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {91--97},
     publisher = {mathdoc},
     volume = {11},
     number = {5},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_5_a7/}
}
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F. Korablev. Classification of Heegaard diagrams of genus three. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 5, pp. 91-97. http://geodesic.mathdoc.fr/item/FPM_2005_11_5_a7/