ERRATUM TO MY THESIS
STEFAN FRIEDL
In my thesis [Fr03, Corollary 9.3] I claimed the following result.
Corollary. Let K be a knot which is algebraically doubly slice, then K is (1)-solvable.
Min Hoon Kim pointed out to me that the argument provided is incorrect. More
precisely, the two metabolizers that arise from K being algebraically doubly slice are
dual with Z-coefficients, but there is a priori no reason why they should be dual with
Z[t±1 ]-coefficients.
References
[Fr03] S. Friedl, Eta invariants as sliceness obstructions and their relation to Casson-Gordon invariants, thesis, Brandeis University (2003).
E-mail address: [email protected]
Date: May 6, 2014.
1991 Mathematics Subject Classification. 57M27.
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