Algebraic & Geometric Topology

Dehn surgeries and rational homology balls

Paolo Aceto and Marco Golla

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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 Tkq±1,q bound rational homology balls.

Article information

Algebr. Geom. Topol., Volume 17, Number 1 (2017), 487-527.

Received: 14 April 2016
Revised: 8 June 2016
Accepted: 15 June 2016
First available in Project Euclid: 16 November 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57M27: Invariants of knots and 3-manifolds
Secondary: 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45} 57R58: Floer homology

Dehn surgery rational balls Heegaard Floer correction terms torus knots lattices


Aceto, Paolo; Golla, Marco. Dehn surgeries and rational homology balls. Algebr. Geom. Topol. 17 (2017), no. 1, 487--527. doi:10.2140/agt.2017.17.487.

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