ThinSincereQuivers : Table of Contents

• ThinSincereQuivers -- creating and manipulating Toric Quivers
• allSpanningTrees -- find the spanning trees of the underlying graph
• AsSubquiver
• basisForFlowPolytope -- compute the necessary basis vectors for the hyperplane of a flow polytope
• bipartiteQuiver -- make a toric quiver on underlying bipartite graph
• chainQuiver -- make a toric quiver on underlying graph in the form of a chain
• coneSystem -- compute the chamber decomposition of weights
• Flow
• flowPolytope -- generate the polytope associated to a toric quiver
• incInverse -- compute a flow in the preimage for a given weight
• isAcyclic -- check that a quiver has no cycles
• isClosedUnderArrows -- is a subquiver closed under arrows?
• isSemistable -- determines if a subquiver is semistable with respect to a given weight
• isStable -- determines if a subquiver is semistable with respect to a given weight
• isTight -- determine if toric quiver is tight
• makeTight -- return a tight quiver with the same flow polytope
• maxCodimensionUnstable -- compute the maximal codimension of the unstable loci of a quiver
• maximalNonstableSubquivers -- return the maximal subquivers that are semistable
• maximalUnstableSubquivers -- return the maximal subquivers that are unstable
• mergeOnArrow -- join two quivers together by identifying an arrow from each
• mergeOnVertex -- join two quivers together by identifying a vertex from each
• potentialWalls -- return the potential walls in the weight chamber decomposition for a given quiver
• primitiveArrows -- list the primitive arrows in a quiver
• quiverEdges -- return the graph edges associated to the toric quiver
• quiverFlow -- return the flow attribute associated to the toric quiver
• quiverIncidenceMatrix -- return the graph incidence matrix attribute associated to the toric quiver
• quiverWeights -- return the weight attribute associated to the toric quiver
• referenceThetas -- return a weight for all polytopes associated to a toric quiver
• ReturnSingletons
• sameChamber -- determine if two weights lie in the same chamber
• stableTrees -- return the spanning trees that are stable
• subquiver representation
• subquivers -- return all possible subquivers of a given quiver
• theta -- image of the flow on the vertices
• threeVertexQuiver -- make a toric quiver on underlying graph with three vertices and a specified number of edges between each
• toric quiver representation
• ToricQuiver -- the ToricQuiver datatype
• toricQuiver -- the toricQuiver constructor
• ToricQuiver == ToricQuiver -- comparing instances of ToricQuiver
• ToricQuiver ^ List -- taking a subquiver by indexing
• ToricQuiver _ List -- taking a subquiver by indexing
• wallType -- get the type of a wall for a given quiver