Varieties of representations and their cohomology-jump subvarieties for knot groups
Sbornik. Mathematics, Tome 78 (1994) no. 1, pp. 187-209
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This paper studies the spaces of representations of knot groups into a linear group
$\mathrm{GL}_n(\mathbb{C})$, their categorical factor-spaces (i.e., the spaces of all characters of the representations), and their cohomology-jump subspaces. Connections are established between the latter and the spaces of representations of dimension one greater. A complete description is given of these spaces for 2-bridge knots.
@article{SM_1994_78_1_a11,
author = {Le Tu Quoc Thang},
title = {Varieties of representations and their cohomology-jump subvarieties for knot groups},
journal = {Sbornik. Mathematics},
pages = {187--209},
publisher = {mathdoc},
volume = {78},
number = {1},
year = {1994},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1994_78_1_a11/}
}
Le Tu Quoc Thang. Varieties of representations and their cohomology-jump subvarieties for knot groups. Sbornik. Mathematics, Tome 78 (1994) no. 1, pp. 187-209. http://geodesic.mathdoc.fr/item/SM_1994_78_1_a11/