Work

Spheres are rare

Year: 2013

Type: article

Abstract: We prove that triangulations of homology spheres in any dimension grow much slower than general triangulations. Our bound states in particular that the number of triangulations of homology spheres in 3 dimensions grows at most like the power 1/3 of the number of general triangulations.

Source: Europhysics Letters (EPL)

DOI: 10.1209/0295-5075/102/61001

Author: Vincent Rivasseau

Institutions: Université Paris-Sud, Centre National de la Recherche Scientifique, Perimeter Institute

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Government of Canada, Industry Canada, Institut Périmètre de physique théorique

OpenAlex ID: W1990424151

FWCI: 2.797

Cites: 56

Cited by: 8

Related to: 10