4 papers
Structural Reductions for Monochromatic Matchings and Ramsey Tilings
Hong Liu, Maksim Turevskii, Lanchao Wang +1
The Alon--Frankl--Lovász theorem determines the chromatic number of Kneser hypergraphs; equivalently, it gives the sharp minimum size of a monochromatic matching in every edge-colo…
A new proof of Milnor-Wood inequality
Gaiane Panina, Timur Shamazov, Maksim Turevskii
The Milnor-Wood inequality states that if a (topological) oriented circle bundle over an orientable surface of genus has a smooth transverse foliation, then the Euler class of…
Quasisections of circle bundles and Euler class
Gaiane Panina, Timur Shamazov, Maksim Turevskii
Let be an oriented circle bundle over an oriented closed surface . A quasisection is a smooth surface (either closed or bordered) mapped by a…
Minimal triangulations of circle bundles
Gaiane Panina, Maksim Turevskii
A triangulation of a circle bundle is a triangulation of the total space and the base such that the projection is a simplicial map. In the…