2-stratifold spines list all closed 3-manifolds.
problem Classifying closed 3-manifolds using 2-stratifold spines.
method Using 2-stratifold spines to list all closed 3-manifolds.
result Listed all closed 3-manifolds with 2-stratifold spines.
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7 results for “2-stratifold”
Classifies 2-stratifolds with fundamental group Z.
problem Classifying 2-stratifolds with specific fundamental groups.
method Using bicoloured labelled graphs and algorithms.
result Efficient algorithm to determine fundamental group Z.
-stratifolds are a generalization of -manifolds in that there are disjoint simple closed curves where several sheets meet. We show that the word problem for fundamental groups of -stratifolds is solvable.
Trivalent -stratifolds are a generalization of -manifolds in that there are disjoint simple closed curves where three sheets meet. We obtain a classification of -connected -stratifolds in terms of their associated labeled graphs and develop operations that will construct from a single vertex all graphs that…
Python code constructs connected 2-stratifolds from graphs.
problem Creating models of connected trivalent 2-stratifolds.
method Developed operations on associated labeled graphs to construct connected 2-stratifolds.
result Implemented Python code to automate the construction process.
2-dimensional stratifoldsmath.GT
2-stratifolds are a generalization of 2-manifolds in that there are disjoint simple closed curves where several sheets meet. They arise in the study of categorical invariants of 3-manifolds and may have applications to topological data analysis. We define 2-stratifolds and study properties of their associated labeled g…
Method counts connected 2D stratifolds with singular curves and components.
problem Counting -connected trivalent -stratifolds.
method Describes a method for counting.
result Counts -connected trivalent -stratifolds.