7 papers · 1 filter
Minimal simplicial degree self-maps of
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…
Simplicial degree self-maps on -spheres
Biplab Basak, Raju Kumar Gupta, Ayushi Trivedi
The degree of a map between orientable manifolds is a fundamental concept in topology, providing deep insights into the structure of manifolds and the behavior of maps between them…
Crystallizations of small covers over the -simplex and the prism
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…
A classification of semi-equivelar gems on the double torus
Anshu Agarwal, Biplab Basak, Debolina Ghosh
A \emph{semi-equivelar gem} of a PL -manifold is a regular colored graph that represents the manifold and admits a regular embedding on a surface, such that the cyclic sequence…
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…
Regular genus of , -torus, and small covers over
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…