3 papers
math-ph2026
Multi-dimensional consistency of principal binets
Niklas C. Affolter, Jan Techter
Principal binets are a discretization of curvature line parametrized surfaces defined on the vertices and faces of the square lattice . They generalize the previously establi…
math.CO2026
Multiple cluster algebra structures for TCD maps I: theoretical framework
Niklas Affolter, Terrence George, Max Glick +1
We introduce triple crossing diagram (TCD) maps, which encode projective configurations of points and lines, as a unified framework for constructions arising in various areas of ge…
nlin.SI2025
Integrable dynamics in projective geometry via dimers and triple crossing diagram maps on the cylinder
Niklas Christoph Affolter, Terrence George, Sanjay Ramassamy
We introduce twisted triple crossing diagram maps, collections of points in projective space associated to bipartite graphs on the cylinder, and use them to provide geometric reali…