Anshu Agarwal

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20242026

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math.GT2025

A classification of semi-equivelar gems on the double torus

Anshu Agarwal, Biplab Basak, Debolina Ghosh

A \emph{semi-equivelar gem} of a PL $d$ -manifold is a regular colored graph that represents the manifold and admits a regular embedding on a surface, such that the cyclic sequence…

math.GT2025

Regular genus of $S^{2} \times S^{1} \times S^{1}$ , $4$ -torus, and small covers over $Δ^{2} \times Δ^{2}$

Anshu Agarwal, Biplab Basak

A crystallization of a PL manifold is an edge-colored graph encoding a contracted triangulation of the manifold. The concept of regular genus generalizes the notions of surface gen…

math.GT2024

Crystallizations of small covers over the $n$ -simplex $Δ^{n}$ and the prism $Δ^{n - 1} \times I$

Anshu Agarwal, Biplab Basak

A crystallization of a PL manifold is an edge-colored graph that corresponds to a contracted triangulation of the manifold, facilitating the study of its topological and combinator…

math.GT2024

Minimal simplicial degree $d$ self-maps of $S^{n - 1} \times S^{1}$

Anshu Agarwal, Biplab Basak, Sourav Sarkar

The degree of a map between orientable manifolds is a fundamental concept in topology, providing important information about the structure of manifolds and the behavior of maps bet…

A classification of semi-equivelar gems on the double torus

Regular genus of S2×S1×S1, 4-torus, and small covers over Δ2×Δ2

Crystallizations of small covers over the n-simplex Δn and the prism Δn−1×I

Minimal simplicial degree d self-maps of Sn−1×S1

Regular genus of $S^{2} \times S^{1} \times S^{1}$ , $4$ -torus, and small covers over $Δ^{2} \times Δ^{2}$

Crystallizations of small covers over the $n$ -simplex $Δ^{n}$ and the prism $Δ^{n - 1} \times I$

Minimal simplicial degree $d$ self-maps of $S^{n - 1} \times S^{1}$