TY - JOUR
T1 - Floer simple manifolds and L-space intervals
AU - Rasmussen, Jacob
AU - Rasmussen, Sarah Dean
N1 - Publisher Copyright:
© 2017
PY - 2017/12/15
Y1 - 2017/12/15
N2 - 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 S2, and prove a special case of a conjecture of Boyer and Clay [6] about L-spaces formed by gluing three-manifolds along a torus.
AB - 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 S2, and prove a special case of a conjecture of Boyer and Clay [6] about L-spaces formed by gluing three-manifolds along a torus.
KW - Heegaard Floer homology
KW - L-space
UR - http://www.scopus.com/inward/record.url?scp=85033720351&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85033720351&partnerID=8YFLogxK
U2 - 10.1016/j.aim.2017.10.014
DO - 10.1016/j.aim.2017.10.014
M3 - Article
AN - SCOPUS:85033720351
SN - 0001-8708
VL - 322
SP - 738
EP - 805
JO - Advances in Mathematics
JF - Advances in Mathematics
ER -