Anshu Agarwal

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20242026

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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…

math.CO2024

A classification of semi-equivelar gems of PL $d$ -manifolds on the surface with Euler characteristic $- 1$

Anshu Agarwal, Biplab Basak

A semi-equivelar gem of a PL $d$ -manifold is a regular colored graph that represents the PL $d$ -manifold and regularly embeds on a surface, with the property that the cyclic sequen…

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

A classification of semi-equivelar gems of PL d-manifolds on the surface with Euler characteristic −1

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 $S^{n - 1} \times S^{1}$

A classification of semi-equivelar gems of PL $d$ -manifolds on the surface with Euler characteristic $- 1$