Handle decompositions for a class of closed orientable PL 4-manifolds

DOI10.1007/S13226-023-00417-YMaRDI QIDQ6669288

Biplab Basak, Manisha Binjola

Publication date: 22 January 2025

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

crystallizationsregular genushandle decompositionPL-manifolds

Mathematics Subject Classification ID

General topology of complexes (57Q05) Triangulating manifolds (57Q15) General geometric structures on low-dimensional manifolds (57M50) Relations of low-dimensional topology with graph theory (57M15) Coloring of graphs and hypergraphs (05C15) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

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• An algorithmic approach to construct crystallizations of 3-manifolds from presentations of fundamental groups
• Posets, regular CW complexes and Bruhat order
• Simple crystallizations of 4-manifolds
• A graph-theoretical representation of PL-manifolds -- a survey on crystallizations
• Genus-minimal crystallizations of PL 4-manifolds
• Compact 4-manifolds admitting special handle decompositions
• Lower bounds for regular genus and gem-complexity of PL 4-manifolds
• Extending the Concept of Genus to Dimension N
• A combinatorial characterization of 4-dimensional handlebodies

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