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math.AT2023
The mod-2 cohomology groups of low-dimensional unordered flag manifolds and Auerbach bases
Lorenzo Guerra, Santanil Jana, Arun Maiti
Unordered flag manifolds are the manifolds of unordered -tuple of mutually orthogonal lines in . In this paper, we develop some basic tools to compute the mod-…
math.CO2023
The Domino Problem of the Hyperbolic Plane for Regular Polygons
Arun Maiti
We provide a definitive classification of all finite sets of regular polygons that admit a tiling of the hyperbolic plane, thereby establishing the decidability of the Domino Probl…
math.FA2023
Auerbach bases of real spaces
Arun Maiti, Debmalya Sain
We study Auerbach bases of the space , and in particular, prove that has only finitely many Auerbach bases for and . An explicit one-paramet…