Moment Angle Manifolds Corresponding to S 4 Whose Homology and Loop Homology May Have Arbitrary Torsion

Key Points

• The research aims to construct a simplicial 4-sphere whose moment-angle manifold incorporates an arbitrary finitely generated abelian group in its homological structure.
• Constructed a simplicial 4-sphere
• Analyzed the associated moment-angle manifold
• Examined homological properties with respect to finitely generated abelian groups
• The moment-angle manifold's homology contains the group G as a subgroup
• The loop homology also includes G, demonstrating its presence in both structures