6 citations · 6 across the 7 of their papers we have counts for
7 papers
Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles
Arun Maiti
A homogeneous (also known as semi-regular) tiling is an edge-to-edge tiling by regular polygons in which every vertex has the same cyclic type. We resolve the Heesch problem in the…
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-…
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…
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…
Quasi-vertex-transitive Maps on the Plane
Arun Maiti
Quasi-vertex-transitive maps are the homogeneous maps on the plane with finitely many vertex orbits under the action of their automorphism groups. We show that there exist quasi-ve…
Some computations in string topology
Arun Maiti
In this paper, we discuss Hochschild chain models for some of the string topology operations. We use these models to simplify the proofs and computations of some of the results in…
A Morse theoretic description of the Goresky-Hingston product
Arun Maiti
The Goresky-Hingston coproduct was first introduced by D. Sullivan and later extended by M. Goresky and N. Hingston. In this article we give a Morse theoretic description of the co…