The stable braid group and the determinant of the Burau representation
نویسندگان
چکیده
This article gives the homology of the stable braid group with local coefficients obtained from the determinant of the Burau representation. The main result is an isomorphism H∗(B∞; F[t±1])→ H∗(ΩS〈3〉; F) for any field F where Ω2S3〈3〉 denotes the double loop space of the 3–connected cover of the 3–sphere. The methods are to translate the structure of H∗(Bn; F[t±1]) to one concerning the structure of the homology of certain function spaces where the answer is computed.
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تاریخ انتشار 2005