2002/12/31 by Andrew Ranicki
Mathematics · #math.GT #math.AT #msc:57R67
published as Moscow Mathematical Journal 3, 1333-1367 (2003) · 30 pages, LATEX. v3: minor revision of v2 (which was itself a minor revision of v1)
arxiv created 2003/01/13 · arxiv updated 2009/11/30
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.