Blanchfield and Seifert algebra in high dimensional knot theory
Geometric Topology
2007-05-23 v3 Algebraic Topology
Abstract
Novikov initiated the study of the algebraic properties of quadratic forms over polynomial extensions by a far-reaching analogue of the Pontrjagin-Thom transversality construction of a Seifert surface of a knot and the infinite cyclic cover of the knot exterior. In this paper the analogy is applied to explain the relationship between the Seifert forms over a ring with involution and Blanchfield forms over the Laurent polynomial extension.
Keywords
Cite
@article{arxiv.math/0212187,
title = {Blanchfield and Seifert algebra in high dimensional knot theory},
author = {Andrew Ranicki},
journal= {arXiv preprint arXiv:math/0212187},
year = {2007}
}
Comments
30 pages, LATEX. v3: minor revision of v2 (which was itself a minor revision of v1)