Hotspot


arXiv: Geometric Topology | 2003

Additivity of bridge numbers of knots

Jennifer Schultens

We provide a new proof of the following results of H. Schubert: if


Topology | 1999

THE TUNNEL NUMBER OF THE SUM OF n KNOTS IS AT LEAST n

Martin Scharlemann; Jennifer Schultens

K


arXiv: Geometric Topology | 2016

Lecture Notes on Generalized Heegaard Splittings

Martin Scharlemann; Jennifer Schultens; Toshio Saito

is a satellite knot with companion


Mathematische Annalen | 2000

Annuli in generalized Heegaard splittings and degeneration of tunnel number

Martin Scharlemann; Jennifer Schultens

J


Transactions of the American Mathematical Society | 2006

3-manifolds with planar presentations and the width of satellite knots

Martin Scharlemann; Jennifer Schultens

and pattern


Topology and its Applications | 1996

The stabilization problem for Heegaard splittings of Seifert fibered spaces

Jennifer Schultens

(\skew1\hat{V}, L)


Geometry and Topology Monographs | 2005

Destabilizing amalgamated Heegaard splittings

Jennifer Schultens; Richard Weidmann

with index


Proceedings of the American Mathematical Society | 2000

Tunnel numbers of small knots do not go down under connected sum

Jennifer Schultens; K. Morimoto

k


Mathematical Proceedings of the Cambridge Philosophical Society | 2007

Bridge numbers of torus knots

Jennifer Schultens

, then the bridge numbers satisfy the following:


Transactions of the American Mathematical Society | 2012

Contractibility of the Kakimizu complex and symmetric Seifert surfaces

Piotr Przytycki; Jennifer Schultens

b(K) \geq k \cdot (b(J))

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