23 citations · 79 across the 20 of their papers we have counts for
21 papers
The Farey tree and embeddings of lens spaces and rational balls in
Marco Golla, Brendan Owens
Motivated by a conjecture of Kollár, we study embeddings of multiple rational homology balls in . To each node of the Farey tree, we associate such an embedding of t…
Alternating links, rational balls, and cube tilings
Joshua Evan Greene, Brendan Owens
When does the double cover of the three-sphere branched along an alternating link bound a rational homology ball? Heegaard Floer homology generates a necessary condition for it to…
Disoriented homology and double branched covers
Brendan Owens, Sašo Strle
This paper provides a convenient and practical method to compute the homology and intersection pairing of a branched double cover of the 4-ball. To projections of links in the 3-ba…
Knots and 4-manifolds
Brendan Owens
These notes are based on the lectures given by the author during Winter Braids IX in Reims in March 2019. We discuss slice knots and why they are interesting, as well as some ways…
An algorithm to find ribbon disks for alternating knots
Brendan Owens, Frank Swenton
We describe an algorithm to find ribbon disks for alternating knots, and the results of a computer implementation of this algorithm. The algorithm is underlain by a slice link obst…
Smooth, nonsymplectic embeddings of rational balls in the complex projective plane
Brendan Owens
We exhibit an infinite family of rational homology balls which embed smoothly but not symplectically in the complex projective plane. We also obtain a new lattice embedding obstruc…