Outputs (3)

Peripherally Specified Homomorphs of Link Groups (2007)
Journal Article
Kurlin, V., & Lines, D. (2007). Peripherally Specified Homomorphs of Link Groups. Journal of Knot Theory and Its Ramifications, 16(6), 719-740. https://doi.org/10.1142/s0218216507005440

Johnson and Livingston have characterized peripheral structures in homomorphs of knot groups. We extend their approach to the case of links. The main result is an algebraic characterization of all possible peripheral structures in certain homomorphic... Read More about Peripherally Specified Homomorphs of Link Groups.

The Baker-Campbell-Hausdorff Formula in the Free Metabelian Lie Algebra (2007)
Journal Article
Kurlin, V. (2007). The Baker-Campbell-Hausdorff Formula in the Free Metabelian Lie Algebra. Journal of Lie theory, 17(3), 525-538

The classical Baker-Campbell-Hausdorff formula gives a recursive way to compute the Hausdorff series $H=\ln(e^Xe^Y)$ for non-commuting $X,Y$. Formally $H$ lives in the graded completion of the free Lie algebra $L$ generated by $X,Y$. We present a clo... Read More about The Baker-Campbell-Hausdorff Formula in the Free Metabelian Lie Algebra.

Three-page encoding and complexity theory for spatial graphs (2007)
Journal Article
Kurlin, V. (2007). Three-page encoding and complexity theory for spatial graphs. Journal of Knot Theory and Its Ramifications, 16(01), 59-102. https://doi.org/10.1142/s021821650700521x

A finitely presented semigroup RSGn is constructed for n ≥ 2. The centre of RSGn encodes uniquely up to rigid ambient isotopy in 3-space all nonoriented spatial graphs with vertices of degree ≤ n. This encoding is obtained by using three-page embeddi... Read More about Three-page encoding and complexity theory for spatial graphs.