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The homomorphism domination exponent

open access: yes, 2010
We initiate a study of the homomorphism domination exponent of a pair of graphs F and G, defined as the maximum real number c such that |Hom(F, T) |> |Hom(G,T)|c for every graph T.
Benjamin Rossman, et al.
core  

The kernel of the Goldberg homomorphism is not finitely generated

open access: yes
Let $M$ be a closed surface not the sphere or projective plane. Goldberg [Math. Scand. 33 (1973) 69–82] defined a natural homomorphism from the $n$-stranded pure braid group of $M$ to the n-fold product of $\pi _1(M)$ and showed that the kernel of the ...
Scharlemann, Martin
core  

Matrix Product Operator Algebras I: Representations of Weak Hopf Algebras and Projected Entangled Pair States. [PDF]

open access: yesCommun Math Phys
Molnar A   +5 more
europepmc   +1 more source

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