Biplab Basak

activity

20132026

most citedSimple crystallizations of 4-manifolds

17 citations · 68 across the 30 of their papers we have counts for

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Showing 2025 · math.GTShow all

3 papers · 2 filters

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.GT2025

Embeddings of edge-colored dual graphs of balanced 3- and 4-manifolds

Biplab Basak, Sourav Sarkar

This article focuses on a class of properly edge-colored graphs, which arise from topological combinatorics, and investigates their embeddings onto surfaces. Specifically, these gr…

A classification of semi-equivelar gems on the double torus

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

Embeddings of edge-colored dual graphs of balanced 3- and 4-manifolds

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