55 citations · 143 across the 12 of their papers we have counts for
14 papers
Extending Quotients of Knot Groups over Surfaces in
Alexandra Kjuchukova, Kent E. Orr
Let be a knot with exterior , and denote by a quotient of its group. We give a sharp obstruction to the existence of a…
Transfinite Milnor invariants for 3-manifolds
Jae Choon Cha, Kent E. Orr
In his 1957 paper, John Milnor introduced link invariants which measure the homotopy class of the longitudes of a link relative to the lower central series of the link group. Conse…
Picture groups of finite type and cohomology in type
Kiyoshi Igusa, Gordana Todorov, Jerzy Weyman
For every quiver (valued) of finite representation type we define a finitely presented group called a picture group. This group is very closely related to the cluster theory of the…
Whitney towers and abelian invariants of knots
Jae Choon Cha, Kent E. Orr, Mark Powell
We relate certain abelian invariants of a knot, namely the Alexander polynomial, the Blanchfield form, and the Arf invariant, to intersection data of a Whitney tower in the 4-ball…
Modulated semi-invariants
Kiyoshi Igusa, Kent Orr, Gordana Todorov +1
We prove the basic properties of determinantal semi-invariants for presentation spaces over any finite dimensional hereditary algebra over any field. These include the virtual gene…
Group localization and two problems of Levine
Roman Mikhailov, Kent E. Orr
A. K. Bousfield's -localization of groups inverts homologically two-connected homomorphisms of groups. J. P. Levine's algebraic closure of groups inverts homomorphisms…