Surfaces with boundary in alternating knot exteriors.
Surgeries on small volume hyperbolic 3-orbifolds.
Surgery and involutions on 4-manifolds.
Surgery formulae for Casson's invariant and extensions to homology lens spaces.
Surgery on Double Knots and Symmetries.
Sutured Heegaard diagrams for knots.
Sweepouts of amalgamated 3-manifolds.
Symmetric knots and the cabling conjecture.
Symmetries, isometries and length spectra of closed hyperbolic three-manifolds.
Symmetries of embedded complete bipartite graphs
We characterize which automorphisms of an arbitrary complete bipartite graph can be induced by a homeomorphism of some embedding of the graph in S³.
Symmetries of Möbius Ladders.
Symmetries of Nonelliptic Montesinos Links.
Symmetries of spatial graphs and Simon invariants
An ordered and oriented 2-component link L in the 3-sphere is said to be achiral if it is ambient isotopic to its mirror image ignoring the orientation and ordering of the components. Kirk-Livingston showed that if L is achiral then the linking number of L is not congruent to 2 modulo 4. In this paper we study orientation-preserving or reversing symmetries of 2-component links, spatial complete graphs on 5 vertices and spatial complete bipartite graphs on 3 + 3 vertices in detail, and determine...
Symmetrische Brücken und Knotentheorie zu den Dynkin-Diagrammen vom Typ B.
Symplectic fillability of tight contact structures on torus bundles.
Symplectic fillings and positive scalar curvature.
Symplectic gluing along hypersurfaces and resolution of isolated orbifold singularities.
Symplectic Lefschetz fibrations on .
Systolic groups acting on complexes with no flats are word-hyperbolic
We prove that if a group acts properly and cocompactly on a systolic complex, in whose 1-skeleton there is no isometrically embedded copy of the 1-skeleton of an equilaterally triangulated Euclidean plane, then the group is word-hyperbolic. This was conjectured by D. T. Wise.
Tameness on the boundary and Ahlfors' measure conjecture
Let N be a complete hyperbolic 3-manifold that is an algebraic limit of geometrically finite hyperbolic 3-manifolds. We show N is homeomorphic to the interior of a compact 3-manifold, or tame, if one of the following conditions holds: 1. N has non-empty conformal boundary, 2. N is not homotopy equivalent to a compression body, or 3. N is a strong limit of geometrically finite manifolds. The first case proves Ahlfors’ measure conjecture for kleinian groups in the closure of the geometrically finite...