Hyperbolic surfaces of genus g filled by O(g / ln g) systoles, achieving the Anderson-Parlier-Pittet lower bound.
Mathieu, Estimating the dimension of the Thurston spine
2 Pith papers cite this work. Polarity classification is still indexing.
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Authors calculate indices for a family of systole critical points in low genus and determine smallest and largest cardinalities of minimal filling sets for regular right-angled m-gon tesselations (m=5,6,7) using integer linear programming with symmetry breaking.
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Filling surfaces with very few systoles
Hyperbolic surfaces of genus g filled by O(g / ln g) systoles, achieving the Anderson-Parlier-Pittet lower bound.
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Small genus, small index critical points of the systole function
Authors calculate indices for a family of systole critical points in low genus and determine smallest and largest cardinalities of minimal filling sets for regular right-angled m-gon tesselations (m=5,6,7) using integer linear programming with symmetry breaking.