Paul Kirk

THE GASSNER REPRESENTATION FOR STRING LINKS

The Gassner representation of the pure braid group to

Splitting the spectral flow and the Alexander matrix

GL_n(Z[Z^n])

The pillowcase and perturbations of traceless representations of knot groups

can be extended to give a representation of the concordance group of

Traceless SU (2) representations of 2-stranded tangles

n

Non-slice linear combinations of algebraic knots

-strand string links to

Generalized Seifert surfaces and linking numbers

GL_n(F)

Chern-Simons invariants of 3-manifolds and representation spaces of knot groups

, where

Representation spaces of Seifert fibered homology spheres

F

Metabelian representations, twisted Alexander polynomials, knot slicing, and mutation

is the field of quotients of

Instantons, concordance, and Whitehead doubling

zz[zz^n]