Universität zu Köln

Borodzik, Maciej ORCID: 0000-0002-1101-6724 and Friedl, Stefan (2014). THE UNKNOTTING NUMBER AND CLASSICAL INVARIANTS II. Glasg. Math. J., 56 (3). S. 657 - 681. NEW YORK: CAMBRIDGE UNIV PRESS. ISSN 1469-509X

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Abstract

In [3] the authors (M. Borodzik and S. Friedl, Unknotting number and classical invariants (preprint 2012)) associated to a knot K subset of S-3 an invariant n(R)(K), which is defined using the Blanchfield form and which gives a lower bound on the unknotting number. In this paper, we express n(R) (K) in terms of the Levine-Tristram signatures and nullities of K. We also show in the proof that the Blanchfield form for any knot K is diagonalisable over R[t(+/- 1)].

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Borodzik, Maciej UNSPECIFIED orcid.org/0000-0002-1101-6724 UNSPECIFIED Friedl, Stefan UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-431160
DOI:	10.1017/S0017089514000081
Journal or Publication Title:	Glasg. Math. J.
Volume:	56
Number:	3
Page Range:	S. 657 - 681
Date:	2014
Publisher:	CAMBRIDGE UNIV PRESS
Place of Publication:	NEW YORK
ISSN:	1469-509X
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/43116