5 papers · 1 filter
Triple linking numbers and Heegaard Floer homology
Eugene Gorsky, Tye Lidman, Beibei Liu +1
We establish some new relationships between Milnor invariants and Heegaard Floer homology. This includes a formula for the Milnor triple linking number from the link Floer complex,…
Recent advances on the non-coherent band surgery model for site-specific recombination
Allison H. Moore, Mariel Vazquez
Site-specific recombination is an enzymatic process where two sites of precise sequence and orientation along a circle come together, are cleaved, and the ends are recombined. Site…
Surgery on links of linking number zero and the Heegaard Floer -invariant
Eugene Gorsky, Beibei Liu, Allison H. Moore
We study Heegaard Floer homology and various related invariants (such as the -function) for two-component L-space links with linking number zero. For such links, we explicitly d…
A note on band surgery and the signature of a knot
Allison H. Moore, Mariel Vazquez
Band surgery is an operation relating pairs of knots or links in the three-sphere. We prove that if two quasi-alternating knots and of the same square-free determinant are…
Cosmetic surgery in L-spaces and nugatory crossings
Tye Lidman, Allison H. Moore
The cosmetic crossing conjecture (also known as the "nugatory crossing conjecture") asserts that the only crossing changes that preserve the oriented isotopy class of a knot in the…