Floer simple manifolds and L-space intervals
By Jacob Rasmussen, Sarah Dean Rasmussen. 2015
60 citations recorded by the source corpus.
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 S 2 , and prove a special case of a conjecture of Boyer and Clay [6] about L-spaces formed by gluing three-manifolds along a torus.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/876be0d96785d8c36d913b335ecb24b53bdac3a0
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In Discrete Mathematics and Combinatorics
- Liam Watson
- Jacob Rasmussen
- J. Hanselman
- M. Hedden
- Peter S. Ozsv'ath
- Zolt'an Szab'o
- Dror Bar-Natan
- A. Stipsicz
In Geometry and Topology
- Liam Watson
- J. Hanselman
- Jacob Rasmussen
- Peter S. Ozsv'ath
- Zolt'an Szab'o
- M. Hedden
- A. Stipsicz
- Jennifer Hom
In Mathematical Physics
- Liam Watson
- J. Hanselman
- Jacob Rasmussen
- Peter S. Ozsv'ath
- Zolt'an Szab'o
- M. Hedden
- Jennifer Hom
- Yi Ni
Citations in the corpus
- Bordered Floer homology for manifolds with torus boundary via immersed curves (2016, background): “tation reversing homeomorphism between torus boundaries. Then Y is an L-space if and only if L M 0 [h(L M 1 ) = QP1. This conrms a conjecture due to the rst author [13], and strengthens results in [14, 15, 17, 18, 30]. In addition to the applications discussed below, the L-space gluing theorem play”