9 citations · 14 across the 3 of their papers we have counts for
3 papers
math.GT2005★ 5 cited
Unknotting information from Heegaard Floer homology
Brendan Owens
We use Heegaard Floer homology to obtain bounds on unknotting numbers. This is a generalisation of Ozsvath and Szabo's obstruction to unknotting number one. We determine the unknot…
math.GT2003
A characterisation of the n<1> + <3> form and applications to rational homology spheres
Brendan Owens, Saso Strle
We conjecture two generalisations of Elkies' theorem on unimodular quadratic forms to non-unimodular forms. We give some evidence for these conjectures including a result for deter…
math.GT2003★ 9 cited
Rational homology spheres and four-ball genus
Brendan Owens, Saso Strle
Using the Heegaard Floer homology of Ozsvath and Szabo we investigate obstructions to definite intersection pairings bounded by rational homology spheres. As an application we obta…