Corpus ID: 220056258

Conjugation Curvature in Solvable Baumslag-Solitar Groups

@inproceedings{Taback2020ConjugationCI,
  title={Conjugation Curvature in Solvable Baumslag-Solitar Groups},
  author={Jennifer Taback and Alden Walker},
  year={2020}
}
  • Jennifer Taback, Alden Walker
  • Published 2020
  • Mathematics
  • For an element in BS(1, n) = 〈t, a|tat = a〉 written in the normal form tat with u,w ≥ 0 and v ∈ Z, we exhibit a geodesic word representing the element and give a formula for its word length with respect to the generating set {t, a}. Using this word length formula, we prove that there are sets of elements of positive density of positive, negative and zero conjugation curvature, as defined by Bar Natan, Duchin and Kropholler. 

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    + 2(k x − k y ) > x 1 − x + δw (j) ) ,v,w (x)| and |η u,v,w (y)|

    • X 1 − X Δw
    VIEW 7 EXCERPTS
    HIGHLY INFLUENTIAL

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    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

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    As y < u,w x we conclude that (x j ) = (1) is a run at which x can be reduced

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