Asymmetric hyperbolic L-spaces, Heegaard genus, and Dehn filling
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]
|Collections||ANU Research Publications|
|Source:||Mathematical Research Letters|
|01_Dunfield_Asymmetric_Hyperbolic_2016.pdf||235.23 kB||Adobe PDF|
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