11 citations · 32 across the 10 of their papers we have counts for
8 papers · 1 filter
Studying links via booklinks: A Markov theorem
Roman Aranda, Fraser Binns, Margaret Doig
We introduce "book links" as a generalization of braids in open book decompositions; this new class of objects includes both braids and plats as special cases. We then prove a vers…
Typical knots: size, link component count, and writhe
Margaret I. Doig
We model the typical behavior of knots and links using grid diagrams. Links are ubiquitous in the sciences, and their "normal" or "typical" behavior is of significant importance in…
A combinatorial proof of the homology cobordism classification of lens spaces
Margaret Doig, Stephan Wehrli
It follows implicitly from recent work in Heegaard Floer theory that lens spaces are homology cobordant exactly when they are oriented homeomorphic. We provide a new combinatorial…
On the intersection ring of graph manifolds
Margaret I. Doig, Peter D. Horn
We calculate the intersection ring of three-dimensional graph manifolds with rational coefficients and give an algebraic characterization of these rings when the manifold's underly…
Obstructing finite surgery
Margaret I. Doig
For a fixed p, there are only finitely many elliptic 3-manifolds given by p/q-surgery on a knot in S^3. We prove this result by using the Heegaard Floer correction terms (d-invaria…
Finite knot surgeries and Heegaard Floer homology
Margaret I. Doig
Extensive rewrite. Tables and proofs have been reformatted and/or rewritten for clarity.