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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…