Ehhm, sorry to say Kcrandal is right; my sling obsession muddled my memory somewhat
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Well anyway, he was called Gunnar from Hlišarenda, and history has it he was a good fighter and archer, his melee weapon of choice was an"atgeiri" a halibard/pole-arm kind of weapon.
The story is a bit strange from a tactical point of view, I mean getting into such close combat that your bow string is cut by a swordstip, and still having time to argue with your wife about repair materials strikes me as a bit odd. Well there was a doorway involved so who knows? Still have the feeling his pole arm might have served him better under the circumstances.
About his wife Hallgerša, she was at the time not regarded as evil on ground of her refusal to help her husband. Gunnar had some time earlier declined to support his wife in a matter of honour; this loss of honour was regarded (literally) as a matter of life and death. Making her actions a justifiable revenge....
The icelandic word for sling is valslöngu, or slönguvalur, depending on who you ask...