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Asymmetric hyperbolic L-spaces, Heegaard genus, and Dehn filling

Dunfield, Nathan M.; Hoffman, Neil R.; Licata, Joan E.


An LL-space is a rational homology 3-sphere with minimal Heegaard Floer homology. We give the first examples of hyperbolic LL-spaces with no symmetries. In particular, unlike all previously known LL spaces, these manifolds are not double branched covers of links in S³. We prove the existence of infinitely many such examples (in several distinct families) using a mix of hyperbolic geometry, Floer theory, and verified computer calculations. Of independent interest is our technique for using...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
Source: Mathematical Research Letters
DOI: 10.4310/MRL.2015.v22.n6.a7


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