Floer Simple Manifolds and L-Space Intervals
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Rasmussen, J
Rasmussen, SD
Abstract
An oriented three-manifold with torus boundary admits either no L-space Dehn filling, a unique L-space filling, or an interval of L-space fillings. In the latter case, which we call “Floer simple,” we construct an invariant which computes the interval of L-space filling slopes from the Turaev torsion and a given slope from the interval's interior. As applications, we give a new proof of the classification of Seifert fibered L-spaces over , and prove a special case of a conjecture of Boyer and Clay [6] about L-spaces formed by gluing three-manifolds along a torus.
Description
Keywords
Heegaard Floer homology, L-space
Journal Title
Advances in Mathematics
Conference Name
Journal ISSN
0001-8708
1090-2082
1090-2082
Volume Title
322
Publisher
Elsevier
Publisher DOI
Sponsorship
Engineering and Physical Sciences Research Council (EP/M000648/1)
Engineering and Physical Sciences Research Council (EP/L026481/1)
Engineering and Physical Sciences Research Council (EP/L026481/1)