Author:
BORODZIK MACIEJ,HEDDEN MATTHEW
Abstract
AbstractGiven anL–space knot we show that its ϒ function is the Legendre transform of a counting function equivalent to thed–invariants of its large surgeries. The unknotting obstruction obtained for the ϒ function is, in the case ofL–space knots, contained in thed–invariants of large surgeries. Generalisations apply for connected sums ofL–space knots, which imply that the slice obstruction provided by ϒ on the subgroup of concordance generated byL–space knots is no finer than that provided by thed–invariants.
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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