Paper finds unavoidable set for spherical curves with reductivity four.
arXiv research
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A short proof for curve lengths on hyperbolic surfaces.
Call {\em i-hedrite} any 4-valent n-vertex plane graph, whose faces are 2-, 3- and 4-gons only and . The edges of an i-hedrite, as of any Eulerian plane graph, are partitioned by its {\em central circuits}, i.e. those, which are obtained by starting with an edge and continuing at each vertex by the edge oppo…
Paper finds shortest geodesic paths on hyperbolic surfaces.
Veering branched surfaces help construct geodesic flows on curved surfaces.
Paper constructs Lawson surfaces using Fuchsian DPW potentials.
The paper provides presentations for mapping class groups and cluster automorphism groups of surfaces.
New algorithms improve agnostic learning for triangles and polygons, reducing time complexity.