Geodesic
THE UNKNOTTING NUMBER AND CLASSICAL INVARIANTS II
Glasgow mathematical journal, Tome 56 (2014) no. 3, pp. 657-680

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DOI

In [3] the authors (M. Borodzik and S. Friedl, Unknotting number and classical invariants (preprint 2012)) associated to a knot K ⊂ S3 an invariant nR(K), which is defined using the Blanchfield form and which gives a lower bound on the unknotting number. In this paper, we express nR(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].
DOI : 10.1017/S0017089514000081
Mots-clés : Primary 57M27 
BORODZIK, MACIEJ; FRIEDL, STEFAN. THE UNKNOTTING NUMBER AND CLASSICAL INVARIANTS II. Glasgow mathematical journal, Tome 56 (2014) no. 3, pp. 657-680. doi: 10.1017/S0017089514000081
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     title = {THE {UNKNOTTING} {NUMBER} {AND} {CLASSICAL} {INVARIANTS} {II}},
     journal = {Glasgow mathematical journal},
     pages = {657--680},
     year = {2014},
     volume = {56},
     number = {3},
     doi = {10.1017/S0017089514000081},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089514000081/}
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