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- W2964875125 abstract "This paper presents a simplification of the main argument in Effective quasimorphisms on right-angled Artin by Fernos, Forester and Tao. Their article introduces a family of quasimorphisms on a certain class of groups (called RAAG-like) acting on CAT(0) cube complexes. They show that these have uniform defect of $12$ and take the value of at least $1$ on a chosen element. With the Bavard Duality they conclude that hyperbolic elements of RAAG-like groups have stable commutator length of at least $1/24$. Their proof that the quasimorphisms take the value $1$ is quite technical and relies on some tools they introduce: the essential characteristic set and equivariant Euclidean embeddings. Here it is shown that this is unnecessary and a much shorter proof is given. This was originally part of my master thesis Stable commutator length gap in RAAG-like supervised by Alessandra Iozzi at ETH Zurich." @default.
- W2964875125 created "2019-08-13" @default.
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- W2964875125 date "2019-07-31" @default.
- W2964875125 modified "2023-09-27" @default.
- W2964875125 title "A simplification of Effective quasimorphisms on right-angled Artin groups" @default.
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