Defines (P,φ)-Tamari lattices as a generalization of the Tamari lattice and uses them to establish join-semidistributivity and related properties for higher torsion class lattices of type A algebras.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Establishes a 2^{|U|}:1 correspondence between TF equivalence classes in the closed interval neighborhood D(U) of a silting cone C^∘(U) and those in K_0(proj B)_R for the τ-tilting reduced algebra B, together with an explicit polyhedral description of D(U).
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$(P,\phi)$-Tamari and higher torsion lattices of type $\mathbf{A}$
Defines (P,φ)-Tamari lattices as a generalization of the Tamari lattice and uses them to establish join-semidistributivity and related properties for higher torsion class lattices of type A algebras.
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The interval neighborhoods in the real Grothendieck groups
Establishes a 2^{|U|}:1 correspondence between TF equivalence classes in the closed interval neighborhood D(U) of a silting cone C^∘(U) and those in K_0(proj B)_R for the τ-tilting reduced algebra B, together with an explicit polyhedral description of D(U).