Year: 1995
Type: article
Abstract: The relation between discrete topological field theories on triangulations of two-dimensional manifolds and associative algebras was worked out recently. The starting point for this development was the graphical interpretation of the associativity as flip of triangles. We show that there is a more general relation between dip-moves with two n-gons and Z n-2 -graded associative algebras. A detailed examination shows that flip-invariant models on a lattice of n-gons can be constructed from Z 2 - or Z 1 -graded algebras, reducing in the second case to triangulations of the two-dimensional manifolds. Related problems occur naturally in three-dimensional topological lattice theories.
Author: C Nowak
Institution: University of Freiburg
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1982551859