#### Volume 17, issue 1 (2017)

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Dehn surgeries and rational homology balls

### Paolo Aceto and Marco Golla

Algebraic & Geometric Topology 17 (2017) 487–527
##### Abstract

We consider the question of which Dehn surgeries along a given knot bound rational homology balls. We use Ozsváth and Szabó’s correction terms in Heegaard Floer homology to obtain general constraints on the surgery coefficients. We then turn our attention to the case of integral surgeries, with particular emphasis on positive torus knots. Finally, combining these results with a lattice-theoretic obstruction based on Donaldson’s theorem, we classify which integral surgeries along torus knots of the form ${T}_{kq±1,q}$ bound rational homology balls.

##### Keywords
Dehn surgery, rational balls, Heegaard Floer correction terms, torus knots, lattices
##### Mathematical Subject Classification 2010
Primary: 57M27
Secondary: 57M25, 57R58