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Dehn surgeries and rational homology
Alfred Renyi Inst Math, 13-15 Realtanoda U, H-1053 Budapest, Hungary..
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
2017 (English)In: Algebraic and Geometric Topology, ISSN 1472-2747, E-ISSN 1472-2739, Vol. 17, no 1, 487-527 p.Article in journal (Refereed) Published
Abstract [en]

We consider the question of which Dehn surgeries along a given knot bound rational homology balls. We use Ozsvath and Szabo'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.

Place, publisher, year, edition, pages
GEOMETRY & TOPOLOGY PUBLICATIONS , 2017. Vol. 17, no 1, 487-527 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-319676DOI: 10.2140/agt.2017.17.487ISI: 000397109700014OAI: oai:DiVA.org:uu-319676DiVA: diva2:1087463
Funder
EU, European Research CouncilKnut and Alice Wallenberg Foundation
Available from: 2017-04-07 Created: 2017-04-07 Last updated: 2017-04-07Bibliographically approved

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