Allison N. Miller

activity

20112023

most citedKnot traces and concordance

25 citations · 76 across the 17 of their papers we have counts for

collaborators

Showing 2017Show all

4 papers · 1 filter

math.GT2017

Winding number $m$ and $- m$ patterns acting on concordance

Allison N. Miller

We prove that for any winding number $m > 0$ pattern $P$ and winding number $- m$ pattern $Q$ , there exist knots $K$ such that the minimal genus of a cobordism between $P (K)$ and $Q(K…

math.GT2017★ 13 cited

Symmetric chain complexes, twisted Blanchfield pairings, and knot concordance

Allison N. Miller, Mark Powell

We give a formula for the duality structure of the 3-manifold obtained by doing zero-framed surgery along a knot in the 3-sphere, starting from a diagram of the knot. We then use t…

math.GT2017★ 2 cited

Linking forms of amphichiral knots

Stefan Friedl, Allison N. Miller, Mark Powell

We give a simple obstruction for a knot to be amphichiral, in terms of the homology of the 2-fold branched cover. We work with unoriented knots, and so obstruct both positive and n…

math.GT2017★ 25 cited

Knot traces and concordance

Allison N. Miller, Lisa Piccirillo

We give a method for constructing many pairs of distinct knots $K_{0}$ and $K_{1}$ such that the two 4-manifolds obtained by attaching a 2-handle to $B^{4}$ along $K_{i}$ with framing zero…

Winding number m and −m patterns acting on concordance

Symmetric chain complexes, twisted Blanchfield pairings, and knot concordance

Linking forms of amphichiral knots

Knot traces and concordance

Winding number $m$ and $- m$ patterns acting on concordance