10 citations · 16 across the 4 of their papers we have counts for
4 papers
Reducible surgery in lens spaces and seiferters
Fyodor Gainullin
The Cabling Conjecture states that surgery on hyperbolic knots in never produces reducible manifolds. In contrast, there do exist hyperbolic knots in some lens spaces with no…
Heegaard Floer homology and knots determined by their complements
Fyodor Gainullin
In this paper we investigate the question of when different surgeries on a knot can produce identical manifolds. We show that given a knot in a homology sphere, unless the knot is…
Only finitely many alternating knots can yield a given manifold by surgery
Fyodor Gainullin
We show that given a 3-manifold there is only a finite number of alternating knots such that can be obtained by surgery on . A very similar but somewhat…
Mapping cone formula in Heegaard Floer homology and Dehn surgery on knots in
Fyodor Gainullin
We write down an explicit formula for the version of the Heegaard Floer homology (as an absolutely graded vector space over an arbitrary field) of the results of Dehn surgery o…