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# Search results

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