806 citations
- Rutherford Appleton LaboratoryGB24 papers
- Centre National de la Recherche ScientifiqueFR23 papers
- European Organization for Nuclear ResearchCH17 papers
- Imperial College LondonGB16 papers
- University of WarsawPL15 papers
- Center for Theoretical PhysicsPL14 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PadovaIT14 papers
- AGH University of KrakowPL13 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di BolognaIT13 papers
- Université Paris CitéFR13 papers
- University College LondonGB13 papers
- University of GlasgowGB13 papers
8 papers · 1 filter
Spectral geometry, link complements and surgery diagrams
Marc Lackenby
We provide an upper bound on the Cheeger constant and first eigenvalue of the Laplacian of a finite-volume hyperbolic 3-manifold M, in terms of data from any surgery diagram for M.…
The maximal number of exceptional Dehn surgeries
Marc Lackenby, Robert Meyerhoff
We prove two conjectures of C. Gordon. We show that the maximal number of exceptional Dehn surgeries on a 1-cusped hyperbolic 3-manifold is 10, and that the maximal intersection nu…
LERF and the Lubotzky-Sarnak conjecture
M. Lackenby, D. D. Long, A. W. Reid
We prove that every closed hyperbolic 3-manifold has a family of (possibly infinite sheeted) coverings with the property that the Cheeger constants in the family tend to zero. This…
Covering spaces of 3-orbifolds
Marc Lackenby
Let O be a compact orientable 3-orbifold with non-empty singular locus and a finite volume hyperbolic structure. (Equivalently, O is the quotient of hyperbolic 3-space by a lattice…
Some 3-manifolds and 3-orbifolds with large fundamental group
Marc Lackenby
We provide two new proofs of a theorem of Cooper, Long and Reid which asserts that, apart from an explicit finite list of exceptional manifolds, any compact orientable irreducible…
The Heegaard genus of amalgamated 3-manifolds
Marc Lackenby
Let M and M' be simple 3-manifolds, each with connected boundary of genus at least two. Suppose that M and M' are glued via a homeomorphism between their boundaries. Then we show t…