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math.CO2024
Curves on the torus with few intersections
Igor Balla, Marek Filakovský, Bartłomiej Kielak +2
Aougab and Gaster [Math. Proc. Cambridge Philos. Soc. 174 (2023), 569-584] proved that any set of simple closed curves on the torus, where any two are non-homotopic and intersect a…
math.CO2024
Equiangular lines via improved eigenvalue multiplicity
Igor Balla, Matija Bucić
A family of lines passing through the origin in an inner product space is said to be equiangular if every pair of lines defines the same angle. In 1973, Lemmens and Seidel raised w…