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8,593 records were found.

Strongly minimal PD4-complexes

Comment: 17 pages

Rigidity of representations in SO(4,1) for Dehn fillings on 2-bridge knots

Comment: References updated and some minor changes

Bridge Number and Conway Products

Schubert proved that, given a composite link $K$ with summands $K_{1}$ and $K_{2}$, the bridge number of $K$ satisfies the following equation: $$\beta(K)=\beta(K_{1})+\beta(K_{2})-1.$$ In Conway Produts and Links with Multiple Bridge Surfaces", Scharlemann and Tomova proved that, given links $K_{1}$ and $K_{2}$, there is a Conway product $K_{1}\times_{c}K_{2}$ such that $$\beta(K_{1}\times_{c} K_{2}) \leq \beta(K_{1}) + \beta(K_{2}) - 1$$ In this paper, we define the generalized Conway product $K_{1}\ast_{c}K_{2}$ and prove the lower bound $\beta(K_{1}\ast_{c}K_{2}) \geq \beta(K_{1})-1$ where $K_{1}$ is the distinguished factor of the generalized product. We go on to show this lower bound is tight for an infinite class of links with arbitrarily high bridge number.

Lens space surgeries & primitive/Seifert type constructions

Comment: 18 pages, 8 figures

Symplectic Heegaard splittings and linked abelian groups

Comment: 78 pages, 1 figure, final version; to appear in "Groups of Diffeomorphisms"

Conway classification of alternating knots

Comment: 10 figures

An Extended Bracket Polynomial for Virtual Knots and Links

Comment: 60 pages, 55 figures, LaTeX document